# trigonometry

2,128 results, page 19

1. ### Trigonometry

A plane at an altitude of 12,000 feet finds the angle of depression for a building ahead of the plane to be 10.4 degrees. With the building still straight ahead, two minutes later the angle of depression is 25.6 degrees. Find of the plane relative to the ground in feet per ...
2. ### Trigonometry

Verify/Solve the identities. 1.) SIN^1/2 X COS X-SIN^5/2 X COS X 2.) Long problem, but it's fun to solve! SEC^6 X(SEC X TAN X)-SEC^4 X(SEC X TAN X)
3. ### Trigonometry

Write an equation of the cosine function with the given amplitude, period, phase shift, and vertical shift. amplitude = 3, period = pi, phase shift = -3/4 pi, vertical shift = -3
4. ### Trigonometry

The diameter of the wheel is 165 feet, it rotates at 1.5 revolutions per minute, and the bottom of the wheel is 9 feet above the ground. Find an equation that gives a passenger's height above the ground at any time t during the ride. Assume the passenger starts the ride at the...
5. ### Trigonometry help

A boat drops an anchor to the bottom of a lake. The anchor rope makes a 15 degree angle with the boat. The anchor rope is 24 feet long. To the nearest foot how deep is the lake? Would I use the cos function giving me 23 or the sin function giving me 6 but how would my set up be?
6. ### Trigonometry

The angle elevation from a point A to the top of the Washington Monument is 32'. From point B, which is on the same line but 55 feet closer to the monument, the angle of elevation to the top is 38'. Find the length of the Washington Monument.
7. ### Trigonometry

A space shuttle pilot flying over the suez canal finds that the angle of depression to one end of the canal is 38.25 degrees and the angle of depression to the other end is 52.75 degrees. If the canal is 100.6 miles long, find the altitude of the space shuttle
8. ### Trigonometry- Help!

After one hour in flight, an airplane is located 200 miles north and 300 miles west of the airport. What is the magnitude of the plane's velocity? Round your answer to the nearest mile per hour. a) 22 miles per hour b) 128 miles per hour c )256 miles per hour d) 361 miles per ...

I posted before ; Write equivalent equations in the form of inverse functions for a.)x=y+cos theta b.)cosy=x^2 my answers were a.) x= y+ cos theta cos theta = x-y theta = cos^-1(x-y) b.) cosy=x^2 cos(y) = x^2 y = Cos^-1(x^2) your post confused me a little. Can you clarify if ...
10. ### trigonometry

a space shuttle pilot flying toward the suez canal finds that the angle of depression on one end of the canal is 38.5 degree and the angle of depression to the other end is 52.75 degree. if the canal is 100.6 mi long, find the altitude of the space shuttle.
11. ### Trigonometry

a person standing 400 feet from the base of a mountain measures the angle of elevation from the ground to the top of the mountain to be 25 degrees, the person then walk 500 feet straight back and measures the angle of elevation to now be 20 degrees, how tall is the mountain?
12. ### Trigonometry

Hello, I want to know what the amplitude and the phase shift would be for this question to model the equation Q. A pendulum is connected to a rope 3 m long, which is connected to a ceiling 4 m high. The angle between its widest swing and vertical hanging position is pi/3. If ...
13. ### Trigonometry

A hill in Colorado makes an angle of 15.0° with the horizontal and has a building at the top. At a point 75.0 feet down the hill from the base of the building, the angle of elevation to the top of the building is 55.0°. What is the height of the building? A. 84.0 feet B. 179...
14. ### MATH - GEOMETRY/TRIGONOMETRY

A 6 foot man stands by a 30 foot radio tower and casts a 10 foot shadow. How long is the shadow cast by the tower and what time is it? I got 50 feet for the length of the shadow. What I cannot find out is, what time is it? I NEED THE TIME OF DAY. **NOT** THE LENGTH OF THE ...
15. ### Algebra 2/ Trigonometry

The expression oos² θ/sin θ + sin θ is equivalent to 1) 1 + cos² θ 2) cos² θ 3) sin θ 4) csc θ
16. ### Trigonometry

The number of daylight hours in a day is harmonic. Suppose that in a particular location, the shortest day of the year has 7 hours of daylight and the longest day of the year has 18 hours. Then, we can model its motion with the function N=Asin(Bt) + C where t is expressed in ...
17. ### trigonometry

Verify that sec(θ)/csc(θ)-cot(θ) - sec(θ)/csc(θ)-cot(θ) = 2csc(θ) is an identity. can some help me through this? thank you!
18. ### algebra & trigonometry

A patient is not allowed to have more than 300 milligrams of cholesterol per day from a diet of eggs and meat. Each egg provides 150 milligrams of cholesterol. Each ounce of meat provides 100 milligrams of cholesterol. Write an inequality that describes the patient’s dietary...
19. ### trigonometry

1) show that: 1-cos2t divided by sin2t= TANt 2) show that: 1-(cos2t divided by (cos x cos)t)= (TAN x TAN)t
20. ### Math - Trigonometry

For how many values of theta such that 0<theta<360 do we have cos theta = 0.1? (Note that theta is a measure in radians, not degrees!) I'm kinda confused with the problem? Could someone help me? I'm thinking unit circle, so cos is the x coordinate. It would be easy if ...
21. ### Trigonometry

A wheel is rotating at 200 revolutions per minute .find the angular speed in radians per second. 200 rpm =200*2pi radians/1 minute (1 rotation = 2pi radians) = 400pi radians/60 seconds =20/3 radians/second You can follow the same procedure for the other two questions you asked.
22. ### Math

Bottom part of the greenhouse has a length of 350 cm, width of 220 cm, angle at the peak of the roof measures 90 degrees. Sketch the frame and label it with actual dimensions. Use trigonometry to find length of the roof pieces. Use a scale of 1:25 to calculate measurements for...
23. ### trigonometry

A box of 200kN is placed on a smooth inclined plane 28° with the horizontal. To prevent the box from sliding down the plane, a rope is tied to it and fastened to a peg on the top of the incline as shown. Determine the pull on the string assuming that the rope is held parallel...

Brit and Tara are standing 13.5 m apart on a dock when they observe a sailboat moving parallel to the dock. When the boat is equidistant between both girls, the angle of elevation to the top of its 8.0 m mast is for both observers. Describe how you would calculate the angle, ...
25. ### Trigonometry

The cast of Sesame Street decided to take a camping trip. being the rebels they are, elmo, cookie monster and oscar decided to camp alone. They each have their own tent and the tents are set up in a triangle. elmo and cookie monster are 10 meters apart. The angle formed at ...
26. ### Trigonometry

In the middle of town, State and Elm streets meet at an angle of 40º. A triangular pocket park between the streets stretches 100 yards along State Street and 53.2 yards along Elm Street. What formula for the area of the pocket park would you use?
27. ### Trigonometry

a satellite camera takes a rectangular-shaped picture. the smallest region that can be photographed is a 4km by 6km rectangle. as the camera zooms out, the length 1 and the width w of the rectangle increase at a rate of 3km/second. how long does it take for the area A to be at...
28. ### Trigonometry

a satellite camera takes a rectangular-shaped picture. the smallest region that can be photographed is a 4km by 6km rectangle. as the camera zooms out, the length 1 and the width w of the rectangle increase at a rate of 3km/second. how long does it take for the area A to be at...
29. ### Trigonometry

How do you simplify: (1/(sin^2x-cos^2x))-(2/cosx-sinx)? I tried factoring and creating a LCD of (sinx+cosx)(sinx cosx) (cosx-sinx), but cannot come up with the right answer. The answer is (1+2sinx+2cosx)/sin^2x+cos^2x,but I don't know how the book arrived at that answer. I'd ...
30. ### Trigonometry

Prove that 1/sin theta-tan theta and - 1/cos theta = 1/cos theta and + 1/sec theta+tan theta
31. ### Trigonometry

Each base angle of an isosceles triangle measures 42°. The base is 14.6 feet long. A) Find the length of a leg of the triangle. Round to the nearest tenth of a foot. B) Find the altitude of the triangle. Round to the nearest tenth of a foot.
32. ### Trigonometry

Each base angle of an isosceles triangle measures 42°. The base is 14.6 feet long. A) Find the length of a leg of the triangle. Round to the nearest tenth of a foot.  B) Find the altitude of the triangle. Round to the nearest tenth of a foot.
33. ### trigonometry

Solution of problem:from the top of a building 55 ft high, the angle of elevation of the top of a vertical pole is 12 degrees, At the bottom of the building, the angle of elevation of the top of the pole is 24 degrees. find the height of the pole.
34. ### Math

Trigonometry Problem: The good ship Bravery is 30 km due west of the good ship Courageous. The Bravery sets out on a bearing of 030° at a speed of 20km/hr. The Courageous sets out on a bearing of 345° at a speed of 25km/hr. Will the ships collide?
35. ### trigonometry

A wheel with a 20-inch radius is marked at two points on the rim. The distance between the marks along the wheel is found to be 3 inches. What is the angle (to the nearest tenth of a degree) between the radii to the two marks? someone helped me on this before: angle/360=3/(...
36. ### Trigonometry

A cat, sitting on top of a tree, spots a dog and a firefighter, both on flat ground below. From the cat's point of view, the dog is 10m south, at an angle of depression of 65 degrees, and the firefighter is some distance east of the tree, at an angle of depression of 50 ...
37. ### trigonometry

a restaurant uses a cable for the servers to slide orders down to the kitchen. the end where the servers place the order is 5 feet high. the end where the kitchen receives the order is 1 foot high. the angle of elevation from the kitchen to the servers stand is 25 degrees. ...
38. ### Precalculus with Trigonometry

Calculate the work done by gravity as a 10 kg object is moved from point A = (0,0,0) to point B = (1,2,0). We are given s = (x sub f - x sub I)x(hat) + (y sub f - y sub I)y(hat) + (z sub f - z sub I)z(hat). Sorry if that doesn't make sense. I think I have to plug in the ...
39. ### Trigonometry

In another attempt to determine the height of the flagpole, a metre stick was placed vertically beside the flagpole. When the flagpole’s shadow was 36.72 m long, the metre stick’s shadow was 3.06 m long. Find the height of the flagpole.
40. ### trigonometry

In another attempt to determine the height of the flagpole, a metre stick was placed vertically beside the flagpole. When the flagpole’s shadow was 36.72 m long, the metre stick’s shadow was 3.06 m long. Find the height of the flagpole.
41. ### Trigonometry

Please show me the work so i understand 2. Find the reference angle of -11π/3. 5. If θ = –18°, find the exact value of θ in radians. 6.If θ = 3, find the value of θ in degrees correct to the nearest tenth of a degree. 13.The radius of a circle ...

Trigonometry Questions 1. Using a compound angle formula, demonstrate that sin2π/3 is equivalent to sin π/3 2. The expression sinπ is equal to zero, while the expression 1/cscπ is undefined. Why is the identity sin(theta)=1/csc(theta) still an identity? 3. ...
43. ### math- Trigonometry

If cos degree equals to 0.8641  What is Sin degree?  I have no idea how to find this.  Please help me. I got help from two people, but I'm not getting the answer and how they got the numbers either. Someone says: cos^2+sin^2=1  sinDegree=sqrt(1-cos^2degree) Another person ...
44. ### trigonometry

How do you work these out? sec u- 1 / 1-cos u = sec u sec x-cos x= sin x tan x 1/sin x - 1/csc x= csc x - sin x
45. ### Trigonometry

in triangle abc, if sin c= (sin a + sin b )/ ( cos a + cos b ) prove that triangle abc is a right-angle triangle.
46. ### Trigonometry

if cos x=2/3 and x is in quadrant 4 find tan(x/2),sin(x/2),and cos(x/2) i got sin(x/2)=squr 1/6 tan(x/2)=squr 2/6 cos(x/2)=squr 5/6
47. ### Trigonometry

John stands on top of a little lighthouse looking out at a nearby tall lighthouse that is 200 feet away. He looks at the top of the tall lighthouse with a 3 degree angle of elevation, but looks at the bottom of the tall lighthouse with 6 degree angle of depression. Find the ...
48. ### Trigonometry

a. Write a formula for Q as a function of t. b. What is the value of Q when t=10 1. Initial amount 2000; increasing by 5% per year 2. Initial amount 112.8; decreasing by 23.4% per year 3. Initial amount 5; increasing by 100% per year
49. ### trigonometry ASAP!

wendell is setting concrete on a triangular patio. one side of the patio is 12.9 feet and another side is 15.2 feet. the angle opposite the 15.2 foot side is 68 degrees. one bag of concrete covers an area of 5 square feet. how many bags of concrete will wendell need to cover ...
50. ### Trigonometry

A building 200 feet tall casts an 80 ft long shadow. If a person looks down from the top of the building which of the following is the measure of the angle between the end of the shadow and the vertical side of the building to the nearest degree? I understand that you would ...
51. ### Trigonometry

From the top of a building 85ft high, the angle of elevation of the top of a vertical pole is 11 degree 6'. At the bottom of the building the angle of elevation of the top of the pole is 26 degree 7'. Find the height of the pole and the distance of the pole from the following.
52. ### Trigonometry - Identities

If tan 2x = - 24/7, where 90 degrees < x < 180 degrees, then find the value of sin x+ cos x. I applied various identities and tried manipulating the problem to get sin x + cos x = sin(arctan(-24/7)/2) + cos(arctan(-24/7)/2) I also played around with the half-angle ...
53. ### Math, Trigonometry

daylight in Calgary, AB each month is show in the table below.? Month Daylight (hrs) Jan 8.50 Feb 10.03 March 11.91 April 13.87 May 15.57 June 16.48 July 16.03 Aug 14.51 Sept 12.63 Oct 10.68 Nov 9.20 Dec 7.99 a) Determine the regression equation that models the number of ...
54. ### Trigonometry

A point on the rim of a wheel of unknown radius in a pulley system has a velocity of 16 in/min. The wheel is making 4 rpm. If the radius of the other wheel is 8 inches, find the 8" wheel's rpms and the unknown wheel's radius. I got a radius of about 0.637" for the unknown ...
55. ### trigonometry

please help two boundary lines of a piece of property intersect at an angle 85 deg.. it is desired to cut off a triangular portion of the property which will be one acre (43560 sq. ft.) in area by means of a straight fence. If the fence begins at a point on one boundary 250 ft...
56. ### trigonometry

show that : sin(A+B).sin(A-B)=Cos^2B - Cos^2A =sin^2A - sin^2B
57. ### Math - Trigonometry

Let f(x) be a polynomial such that f(cos theta) = cos(4 theta) for all \theta. Find f(x). (This is essentially the same as finding cos(4 theta) in terms of cos theta; we structure the problem this way so that you can answer as a polynomial. Be sure to write your polynomial ...
58. ### Trigonometry

I need help: If vector u has a magnitude of 4 meters and a direction of 17 degrees and vector v has a magnitude of 6 meters and a direction of 133 degrees. Find the magnitude of the resultant vector of u + 3v.
59. ### Trigonometry

Two students are passing a ball back and forth, allowing it to bounce once between them. If one students bounce passes the ball from a height of 1.4 m and it bounces 3 m away from the students, where should the second student stand to catch the ball at a height of 1.2 m? ...
60. ### Trigonometry

while standing at the left corner of the schoolyard in front of her school, Suzie estimates that the front face is 8.9m wide and 4.7m high. from her position, Suzie is 12m from the base of the right exterior wall. she determines that the left and right exterior walls appearto ...
61. ### Math (trigonometry)

From a boat on the water, the angle of elevation of the drop of a cliff is 31°. From a point 300 m closer, the angle of elevation is 33°. Find the height of the cliff. the answer should be 2411 m. I had tan31° = h/x+(x-300) tan33° = h/x-300 -> (x-300)tan33° = h. I ...
62. ### Trigonometry

Verify the identities. 1.) SIN[(π/2)-X]/COS[(π/2)-X]=COT X 2.) SEC(-X)/CSC(-X)= -TAN X 3.) (1 + SIN Y)[1 + SIN(-Y)]= COS²Y 4.) 1 + CSC(-θ)/COS(-θ) + COT(-θ)= SEC θ (Note: Just relax through verifying/solving these nice fun looking math problems! ...
63. ### Trigonometry

The angle elevation from a point A to the top of the Washington Monument is 32 degrees. From point B, which is not the same line but 55 feet closer to the monument, the angle elevation to the top is 38 degrees. Find the height of the Washington Monument.
64. ### trigonometry

from a point A on the side of straight road, the angle of elevation of the top of the electric pole is 15°20'. from a point B on the same side of the road, the angle of elevation of the top of the pole is 10°52'. If the distance of A and B is 50 meters, what is the height of...
65. ### Trigonometry

A plane leaves airport A and travels 560 miles to airport B at a bearing of N32E. The plane leaves airport B and travels to airport C 320 miles away at a bearing of S72E. Find the distance from airport A to airport C.
66. ### Trigonometry

Find cotangent theta given that cosecant theta equals -3.5891420 and theta is in the third quadrant. I was using the trig identity 1+cot^2theta=csc^2theta I wanted to isolate cotangent so I plugged in 1/sin (-3.5891420) and then squared my answer. I then subtracted one from ...
67. ### URGENT - Trigonometry - Identities and Proofs

Okay, today, I find myself utterly dumbfounded by these three questions - Write a proof for - 2/(sqrt(3)cos(x) + sin(x))= sec((pi/6)-x) Solve the following equation - 2sin(2x) - 2sin(x) + 2(sqrt(3)cos(x)) - sqrt(3) = 0 Find all solutions (exact) to the equation - sin^2(x)cos^2...
68. ### Trigonometry

My answer: Y= -82.5 cos (4pi/3)x+91.5 (Period: 1.5=2pi/b --> b= 4pi/3 ) The diameter of the wheel is 165 feet, it rotates at 1.5 revolutions per minute, and the bottom of the wheel is 9 feet above the ground. Find an equation that gives a passenger's height above the ground...
69. ### Trigonometry/Geometry - Inequalities

Let a, b, and c be positive real numbers. Prove that sqrt(a^2 - ab + b^2) + sqrt(a^2 - ac + c^2) is greater or equal to sqrt(b^2 + bc + c^2). Under what conditions does equality occur? That is, for what values of a, b, and c are the two sides equal? This looks like a geometry...
70. ### Trigonometry

From the foot of a building I have to look upwards at an angle of 22degrees to sight the top of a tree. From the top of a building, 150 meters above ground level, I have to look down at an angle of depression of 50degrees to look at the top of the tree. a. How tall is the tree...
71. ### trigonometry

can i use factoring to simplify this trig identity? the problem is sinx + cotx * cosx i know the answer is cscx and i know how to get it but i want to know if i can do factoring to get it bc i tried to but it wont give me the answer . this is the step i went through: 1) sinx...
72. ### Trigonometry

Given the rectangular-form point (–1, 4), which of the following is an approximate primary representation in polar form? A. −(4.12, 1.82) B. (−4.12, −1.33) C. (4.12, 1.82) D. (4.12, 4.96) Change 8 cis 240degrees to rectangular form. A. -4(Square root 3)-4i ...
73. ### Trigonometry

Prove that tan (Lambda) cos^2 (Lambda)+sin^2 (Lamda)/sin(Lambda) = cos (Lambda) + sin (Lambda)
74. ### trigonometry

Prove: 1) 1 / sec X - tan X = sec X + tan X 2) cot A + tan A = sec A csc A 3)sec A - 1 / sec A + 1 = 1 - cos A / 1 + cos A
75. ### Trigonometry

Peanuts cost $3 per pound, almonds$4 per pound, and cashews $8 per pound. How many pounds of each should be mixed to produce 140 pounds of a nut assortment that cost$6 per pound, in which there are twice as many peanuts as almonds?
76. ### trigonometry honors

from an observation point A, a fire is spotted at a bearing of 62 degrees. the same fire is spotted from an observation point B, 42 miles due east from A, at a bearing of 332 degrees. how far is observation point B from the fire?
77. ### trigonometry

The sprockets and chain of a bicycle are shown in the figure. The pedal sprocket has a radius of 4 in., the wheel sprocket a radius of 2 in., and the wheel a radius of 13 in. The cyclist pedals at 45 rpm. (a) Find the angular speed of the wheel sprocket. rad/min (b) Find the ...
78. ### trig

hi, I have a placement test coming up tomorrow, and I'm pretty confident about all the stuff that's going to be there except trigonometry. I took trig two years back and I understood it very well. But now it's been so long and I can't even remember the basics. Is there any ...
79. ### Trigonometry

If someone could tell me if this is correct, it would really help me out. Problem: A statue 20 feet high stands on top of a base. From a point in front of the statue, the angle of elevation to the top of the statue is 48 degrees, and the angle of elevation to the bottom of the...
80. ### Math - Trigonometry

You are riding the ferris wheel at the Montgomery County Fair. The wheel has a diameter of 36 feet and travels at a constant rate of 3 revolutions per minute. A car at its lowest is 4 feet above the ground. Write a sine function to describe the relationship between time and ...
81. ### Trigonometry (Math)

A ladder 42 feet long is place so that it will reach a window 30 feet high (first building) on one side of a street; if it is turned over, its foot being held in position, it will reach a window 2o5 feet high (second building) on the other side of the street. How wide is the ...
82. ### Trigonometry

If cos(a)=1/2 and sin(b)=2/3, find sin(a+b), if 1) Both angles are acute; Answer: (sqrt(15)+2)/6 ii) a is an acute angle and pi/2 < b < pi; Answer: (2-sqrt(15))/6 2. Find the exact value of the six trigonometric functions of 13pi/12. Partial answer: cos(13pi/12)=-(sqrt(6...
83. ### trigonometry

the angle of elevation of the top of the tower from the foot of a flagpole is twice the angle of elevation of the top of the flagpole from the foot of the tower. at the point midway between the tower and the flagpole, the angles of elevation to their tops are complimentary. if...
84. ### Trigonometry

Find (a) tan (x+y), (b) tan (x-y), (c) the quadrant containing (x+y), and (d) the quadrant containing (x-y). Given: tan x = 2/3, 0 < x < π/2 ; tan y = 5/6, 0 < y < π/2.
85. ### Trigonometry

Okay, I have been given a trigonometric equation to solve (sin^2(theta) + cos(theta) = 2). So far, I have been able to use the Pythagorean identity to get (-cos^2(theta) + cos(theta) - 1 = 0), which I then multiplied by -1 on both sides to get: (cos^2(theta) - cos(theta) + 1...
86. ### Trigonometry

Find the distance from the ladder to the base of the slide, marked with an x in the diagram. Give your answer accurate to one decimal place. The height of the right angle triangle is 4 m, the hypotenuse is 7 m and the missing variable is on the bottom marked with an x. I used ...
87. ### trigonometry

. A surveyor wishes to measure the distance across Pasig River. She sets up her transit at a point C on the bank of the river, and sights on a point B on the other bank directly opposite her. Then she turns the transit through a right angle, and measures off a distance of 100 ...
88. ### Trigonometry..

During high tide the water depth in a harbour is 22 m and during low tide it is 10m(Assume a 12h cycle). Calculate the times at which the water level is at 18m during the first 24 hours. My solution: first I found the cos equation: H(t)=-6cos(π/6t)+16 then.. Let π/6t...
89. ### History

Which accurately describes one of Sir Isaac Newton’s advancements in astronomy? using a barometer, Newton was able to prove Copernicus heliocentric theory using trigonometry, Newton was able to calculate the size of our solar system newton invented the reflecting telescope, ...
90. ### trigonometry

i have posted this question up alot of times before but i guess no one gets it because no one ever replies.. find the latitude of Spokane, WA if Spokane and Jordan Valley, OR, 43.15degN, are 486 km apart. (assuming that the cities lie on the same norht-south line and that the ...
91. ### maths (trigonometry)

calculate the following: 1)sin 50 degree-sin 70 degree+sin 10deg. 2)cos square 48 deg.- sin square 12 deg. 3)tan 20 deg.+tan 40 deg.+root 3 tan 20 tan 40 Plz. Solve these
92. ### Trigonometry

Every point (x,y) on the curve y=log(3x)/log2 is transferred to a new point by the following translation (x′,y′)=(x−m,y−n), where m and n are integers. The set of (x′,y′) form the curve y=log(12x−96)/log2. What is the value of m+n? ...
93. ### trigonometry

A pedestrian is an between two tall building, from a point 10 meter high on the first building, the angle of depression of the pedestrian is 20°,10' from the same point, the angle of elevation of the top of the second building is 15°,20'. If the two building are 40 meter ...
94. ### Trigonometry

A variant on the carousel at a theme park is the swing ride. Swings are suspeneded from a rotating platform and move outward to form an angle x with the vertical as the ride rotates. The angle is related to the radial distance,r, in metres, from the centre of rotation; the ...
95. ### Mathamatics

Solve the following trigonometry identities. a) 1-cos2(theta) = sin(theta)cos(theta)/cot(theta) b) (1-cos2(theta))(1-tan2(theta))=sin2(theta)-2sin4(theta)/1-sin2(theta) *its supposed to be cos to the power of two, sin to the power of four, etc. There is also supposed to be a ...
96. ### TRIGONOMETRY ASAP!

fountains are designed so that the height and distance the water travels is dependent on θ, the angle at which the water is aimed. for any given angle θ, the ratio of maximum height H of the water to the horizontal distance D it travels is given by the formula H/D=1/...
97. ### Trigonometry

1. Brothers Bob and Tom buy a tent that has a center pole of 6.25 feet high. If the sides of the tent are supposed to make a 50deg angle with the ground, how wide is the tent? 2. A swimming pool is 30 meters long and 12 meters wide. The bottom of the pool is slanted so that ...
98. ### math

if someone could please help that would be muchly appreciated. A group of mountain climbers are using trigonometry to find the height of a mountain located in the rockies. From point A, which is due west of the mountain, the angle of elevation to the top is 56 degrees. From ...
99. ### Gr. 12 Math - Trigonometry 3D

From the top of a 1900 m mountain, the angle of depression to a cathedral that is due east of the mountain is 38 degrees. The angle of depression to a bridge due north of the mountain is 42 degrees. Find the straight-line distance from the cathedral to the bridge. This is a ...
100. ### Trigonometry Check

Simplify #3: [cosx-sin(90-x)sinx]/[cosx-cos(180-x)tanx] = [cosx-(sin90cosx-cos90sinx)sinx]/[cosx-(cos180cosx+sinx180sinx)tanx] = [cosx-((1)cosx-(0)sinx)sinx]/[cosx-((-1)cosx+(0)sinx)tanx] = [cosx-cosxsinx]/[cosx+cosxtanx] = [cosx(1-sinx]/[cosx(1+tanx] = (1-sinx)/(1+tanx) Is ...