# trigonometry

2,125 results, page 12

1. ### Math - Trigonometry

The Earth travels in a circular orbit around the Sun at 29.79 km/sec. If the radius of the orbit is 1.496  108 km, what is the angular velocity in radians/sec? (Round to three significant digits.)
2. ### math trigonometry

Simplify the following expression to a single trigonometric term sin(360-x)*tan(-x)/cos(180 x)*(sin^2A cos^2A) answer= -sinx*-tanx/cosx*(1) after that how do i continue?
3. ### Trigonometry with right triangles

Given the value of cos 25° ≈ 0.9063, enter the sine of a complementary angle. Use an expression relating trigonometric ratios of complementary angles. cos 25° =___ ° ≈ ____
4. ### trigonometry

A television antenna is on the roof of a building, the angle of elevation of the top and the button of the antenna are 51 degrees and 42 degrees respectively.How tall is the antenna?
5. ### Trigonometry

Given that sin alpha = 15/17 and -360 <alpha<360 find all values of alpha to two decimal places. Help Please!
6. ### Math - Trigonometry

A 2m long ladder leaning against a wall makes an angle of 38 degrees with the wall. how far is the base of the ladder from the wall?
7. ### trigonometry

from a point 35 meter from a building and 2 meter above the ground, the angle of the elevation of the top of the building is observed to be 60 degrees. what is the height of the building?
8. ### Trigonometry college

Use a calculator to solve csc (theta) = -3. I know the answer is 3.48 and 5.94 but I need the steps to take on the calculator to arrive at the answer. I have a ti-84 calculator. thanks!
9. ### Trigonometry

A 22-foot ladder leans against a house. The top of the ladder is 12 feet above the ground. Find the angle the ladder makes with the ground.
10. ### Trigonometry

Given the equation 2cos^2x+sinx-1=0 1. Explain why this equation cannot be factored. 2. Use a trigonometric identity to change the equation into one that can be factored.
11. ### Math

This is trigonometry: A tree's height is unknown so we have to solve for the height of the tree. The tree casts a 11m shadow. And the angle of the triangle is 36 degrees.
12. ### Inverse trigonometry

Prove that- tan^-1(1/2tan 2A)+tan^-1(cotA)+tan^-1(cot^3A) ={0,ifpi/4<A<pi/2 {pi,0<A<pi/4 Where 2 small curly brackets are 1 big curly bracket
13. ### Trigonometry

a. Use graphs to decide if the equation is an identity. b. If the equation is not an identity, find a value of the variable that makes the equation false. sin(pi/2+Beta)=1+sinBeta
14. ### Trigonometry

point A and B are 100m apart and are of the same as the foot of a building. the angle of elevation of the top of the building from point A an B are 21 degrees and 32 degree respectively. how far is A from the building
15. ### Trigonometry

point A and B are 100m apart and are of the same as the foot of a building. the angle of elevation of the top of the building from point A an B are 21 degrees and 32 degree respectively. how far is A from the building
16. ### Trigonometry

a small blimp has an air speed of 24km/h on a heading of 42°. The wind's speed is 9 km/h and its direction is 312°. Find the ground speed and drift angle of the blimp.
17. ### trigonometry

express 3 cos x -2 sin x in th eform R cos (x + a) and hence write down the maximum and minimum values of 3 cos x - 2 sin x.
18. ### Trigonometry

Given that sin(2θ)=2/3, the value of sin^6θ+cos^6θ can be written as a/b with a and b as coprime positive integers. Find a+b.
19. ### Trigonometry

Sketch the curve represented by the parametric equations x = 3 cos θ and y = 3 sin θ for 0≤θ≤π
20. ### Trigonometry

19. Sketch the curve represented by the parametric equations x = 3 cos θ and y = 3 sin θ for 0≤θ≤π
21. ### trigonometry

From a point 36 meters from a building and 2.3 meters above the ground, the angle of elevation of the top of the building is observed to be 60°. What is the height of the building?
22. ### Trigonometry (Logarithmic Function)

If log_10(2)=x and log_10(3)=y, then what is the value of log_10(15) in terms of x and y? *the first logarithmic equation reads: the logarithm of x with base 10 is is 2.
23. ### trigonometry

From the top of a building the angle of depression of a point P on the ground is 15 degrees. The point P is 55 ft from the base of the building. Determine the height of the building.
24. ### trigonometry

1. Finde the area of the following tringles: (use Logarithms) A) a=12.7, b=21.5, c=28.6. i'm not of the answer i got. i got 127.6 if you got something different can you show me how you did while using logarithms.
25. ### trigonometry

an example problem showed the following log tan A/2 = 9.54435 - 10 A= 38 deg 36' 12" Now i want to do the same. log tan A/2 = 9.85551 - 10 A= ?? I don't know how to convert tan into degrees can you help me.
26. ### TRIGONOMETRY

hey can somebody help me , its like a hundred questions, im helping my cousin doing it...lol cos=sin60 sin=cos45 tan=1/tan30 cos^2(90' -0)/1-cos - sin(90' - O)
27. ### Trigonometry

If cospΘ + cosqΘ = o. prove that the different values of Θ form two arithmetical progressions in which the common differences are 2π/p+q and 2π/p-q respectively.
28. ### math,trigonometry

From a tower 36m high situated on one side of a river, the angle of desperation of the opposite side of the river is 25 degree. FInd the width of the river?
29. ### math trigonometry

point A and B are 100m apart and are of the same as the foot of a building. the angle of elevation of the top of the building from point A an B are 21 degrees and 32 degree respectively. how far is A from the building?
30. ### Trigonometry

"Sketch the graph of y=tan(x/2) By solving the equation x/2=-pi/2 x=- pi and the equation x/2=pi/2 x=pi..." Before I go any further, I need to understand where these equations came from. Where does the pi come from out of thin air? What becomes of the tangent? Can you please ...
31. ### Trigonometry

Can you explain what is the answer if I encounter(sinθ – 1)? Can you also teach me how to get the LCD of cos^2θ and cos^3θ? Thanks.
32. ### Trigonometry

Show that the following are not trigonometric identities 1.tan 2x = 2tan x 2. sec x= sqr rt 1+tan^2 x 3. sin(x+y)=sin x +sin y
33. ### Trigonometry Urgent!

I am writing a paper on the 8 trigonometric identites but can't find any information on them. Please does anyone know of any websites that would have things like their history, development, applications in ancient times, origins, etc. Please help. Urgent!!!!
34. ### trigonometry

From a mountain 1780 ft. high, the angle of depression of a point on the nearer shore of a river is 48deg40mins and of point directly across on the opposite side is 22deg20mins. What is the width of the river between the two points?

Our teacher said that for trigonometry, even degree means that if we flip the graph, it is would look exactly the same. Then why is that sec is even function while csc is odd function??
36. ### Trigonometry

``(please show the steps to how the problems were solved) Using exact values, find the value of: A.12sin 30 degree - 6 tan 45 degree + sec 45 degrees/ 52 B.Sin2A + tan3A/2 - cos A + sec(a+ 15), when A=30degrees
37. ### Trigonometry

In a right triangle ABC, C = 90°, B = 38° 35' and a = 6.434 mi. Solve for all the missing parts using the given information. (Round each answer to three decimal places for sides and to two decimal places for angle.)

Triangle ABC has side lengths 7, 24, and 25. Do the side lengths form a Pythagorean triple? Explain. Thank You so much! :) I'm having a hard time understanding this so it means alot!
39. ### trigonometry

a submarine at the surface of the ocean makes an emergency dive, its path making an angle of 21 degree with the surface. if it goes 300m long its download path, how deep will it be? what horizontal distance is it from its starting point?
40. ### Trigonometry

Solve the equation, where 0° ≤ x < 360°. Round approximate solutions to the nearest tenth of a degree. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.) 3 sin x − 3 cos x = 1
41. ### Trigonometry

A weight hanging from the end of a spring is pulled 8 inches below its rest position. When released, the weight then exhibits simple harmonic motion, with period 1/2 second. Find an equation describing its motion
42. ### Trigonometry

An airplane with a speed of 485 km/h is traveling with a heading of 83.5°. The wind velocity is 38 km/h in the direction of 191°. Find the ground speed of the airplane. P.S. How do you solve this problem by only using the law of cosine/sine method?
43. ### Trigonometry

Find the symbols for degrees, minutes and seconds on your calculator. Then find cot(43‹41Œ13"). Please give the details of what you did in addition to the answer. Explain what you did to find this. Has any other response used a wrong technique? What would you do to fix it?
44. ### trigonometry

Prove: tan2x+sec2x = cosx+sinx/ cosx-sinx
45. ### maths (trigonometry)

how can we calculate the value of Cos 10+sin 10/cos 10- sin 10
46. ### Trigonometry

Prove that sin(n+1)A-sin(n-1)A/cos(n+1)A+2cosnA+cos(n-1)A = tanA/2
47. ### Trigonometry

What are these things called: -cos x = cos -x What are the rules to these trig rules? Thanks
48. ### Trigonometry

1. ((cosx)/(1 + sinx))+((1 + sinx)/(cosx)) 2. ((cos(x)cot(x))/(1 - sin(x)))-1
49. ### trigonometry

verify the identity: (cosx/1+sinx) + (1+sinx/cosx) = 2secx
50. ### Algebra 2/ Trigonometry

If cos y = -4/5 when 90°≤ y ≤ 180° what is the value of cos 2y?
51. ### maths trigonometry

if cottheta=7/8 then what is the value of 1+costheta/1-sintheta*1-costheta/1+sintheta.
52. ### trigonometry

Prove : 1 + Sin2A/ Cos2A = CosA + SinA / CosA- SinA
53. ### trigonometry

π/10 = (0.95, 0.31) 3π/10 = (3/5, 4/5) 20° = (28/30, 10/30) are these correct? tan 70° = 28/10 csc 21π/10 = 1/0.31 sec 17π/10 = 5/3
54. ### TRIGONOMETRY

given real numbers x, a, b with x>= a>= b>= 0, show that sqrt x+b - sqrt x-a >= sqrt x+a - sqrt x-b
55. ### maths(trigonometry)

if 10A=4/3, find (3sinA+2cosA)/(3sinA-2cosA)
56. ### Trigonometry

Mountain Descent A road sign at the top of a mountain indicates that for the next 4 miles the grade is 12%. Find the angle of the grade and the change in elevation for a car descending the mountain.
57. ### Algebra and Trigonometry

A person who can swim at 3 m/s wishes to swim straight across a river flowing at 2 m/s south. What heading should they swim at? How long will it take to cross the river if it is 56 m wide?
58. ### Trigonometry

A ladder leaning against a building makes a 40 degree angle with the ground. The top of the ladder reaches 10 feet above the ground. How tall is the ladder to the nearest whole foot?
59. ### Trigonometry

a flagpole 25 feet tall stands on a top of a building. from a point in the same horizontal plane with the base of the building. The angle of elevation of the top and the bottom are 61°30' and 56°20' respectively. How high is the building?
60. ### Trigonometry

a flagpole 25 feet tall stands on a top of a building. from a point in the same horizontal plane with the base of the building. The angle of elevation of the top and the bottom are 61°30' and 56°20' respectively. How high is the building?
61. ### Trigonometry

At a point on a level ground, the angle of elevationof a mountain top B is 42deg36min. At a pointD350 meters nearer the mountain, the angle of elevation is 51deg 43 min. Find the height of the mountain?
62. ### Trigonometry (identities) (last help needed)

1. (2cosx-2secx)(3cosx^2+3secx^2+β) 2. (16tanxsecx-4secx)/(8tanxsecx+4secx) 3.sinxcosx^3+cosx^4 (hint: GCF) 4. (cosβ+sinβ)^2
63. ### trigonometry

Nikki bought a triangular lot whose sides are 9 meters, 12 meters, and 15 meters long. if it cost her 3500 pesos per square meter, how much did she pay for the lot?
64. ### trigonometry

1.use a calculator to evaluate the expression cos31deg*cos149-sin31deg*sin149 A. -0.4695 B. -1 C. 0 D. -0.8829 i got B. is that correct? 2.Find the exact trigonometric function value. csc(-300deg) A. sqrt2 B. 2sqrt3/3 C. -sqrt3/3 D. -2 i don't know about this one..i can only ...
65. ### Trigonometry

find the angle theta between two vectors v=-sq. root of 3/2 i+-square root of 3 / 2 j and w=4 square root of 3 i +4j
66. ### trigonometry

What is the single trigonometric function of (Cos 20 degrees) (Cos 30 degrees)-(Sine 20 degress) (Sin 30 degrees)
67. ### trigonometry

Assume that the cities lie on the same north-south line and that the radius of the earth is 6400 km. Can you help me find the latitude of Spokane, WA if Spokane and Jordan Valley, OR, 43.15degreesN, are 486 miles apart. I think its either A. 47.50degN or B. 38.80degN thnks
68. ### trigonometry

Radio direction finders asre set up at points A and B, 8.68 mi apart on an east-west line. From A it is found that the bearing of a signal from a transmitter is N 54.3degE, while from B it is N 35.7degW. Find the distance of the transmitter from B, to the nearest hundredth of ...
69. ### Trigonometry

The Chrysler Building casts a shadow approximately 130 feet long on the street when the Sun's rays form an 82.9 angle with the Earth. Approximately how tall is the building? Round you answer to four decimal places.
70. ### Trigonometry

The question was: "Given that sin theta is -1/2 and theta is in quadrant IV, find the cos and tan of theta." I found 1/2 for cosine and -1 for theta, but the answer sheet said I was incorrect. I am almost positive I did this correctly... can someone double check for me?

Viola drives 200 meters up a hill that makes an angle of 9° with the horizontal. To the nearest tenth of a meter, what horizontal distance has she covered? 1,262.8 m 200.4 m 197.5 m 31.3 m Thank you so much! ^_^
72. ### Trigonometry

Use inverse trigonometric functions to find the solutions of the equation that are in the given interval, and approximate the solutions to four decimal places. (Enter your answers as a comma-separated list.) 10 sin^2 x = 3 sin x + 4; [0, 2π)
73. ### Trigonometry

Use inverse trigonometric functions to find the solutions of the equation that are in the given interval, and approximate the solutions to four decimal places. (Enter your answers as a comma-separated list.) 10 sin^2 x = 3 sin x + 4; [0, 2π)
74. ### Trigonometry

Use inverse trigonometric functions to find the solutions of the equation that are in the given interval, and approximate the solutions to four decimal places. (Enter your answers as a comma-separated list.) 10 sin^2 x = 3 sin x + 4; [0, 2π)
75. ### Trigonometry

I need help proving trigonometric identities. Most of my difficulty lies in actually factoring the equation. For example, one of the problems is (cos t - sin t)^2 + (cos t + sin t)^2 = 2. I have to prove that the left side is equal to 2. How do I do that?
76. ### trigonometry

A mini toy helicopter ascends 50 feet vertically, then flies horizontally 200 feet. Find the angle of elevation to the helicopter now as seen by an observer at the takeoff point. Round to the nearest degree
77. ### Trigonometry

Suppose a smooth glass-top table is tilted slowly. The angle, A, at which a glass plate on the table begins to slide is 43º. Use the equation mg sin A = umg cos A to determine the coefficient of friction, u. A)0.43 B)0.22 C)0.90 D)0.93
78. ### Trigonometry

Without using the Calculator, solve the ff: (show solution) a. Cos 18° b. Tan 18° c. Cot 18° d. Sin 9° e. Cos 9° [Hint: Using any of the formulas for Half- Angle, Double Angles, Reduction] Good Day!!! Thank you for the time. :)
79. ### Summer School Calculus

Another one for you :P, add these two vectors using trigonometry (again)... 9N[S2W] and 11N[N31W]...Again, I am confused about the angles, I am not sure what value I should use for the cosine and sine law. THANKS AGAIN!!
80. ### Math (trigonometry)

MONDAY  December 3, 2012 SCHOOL SUBJECTS Art Business Computers English Foreign Languages Health Home Economics Math Music Physical Education Science Social Studies GRADE LEVELS Preschool Kindergarten Elementary School 1st Grade 2nd Grade 3rd Grade 4th Grade 5th Grade 6th ...
81. ### trigonometry

Find the number of cans stacked in a display if there are 30 rows of cans with six on the top row, ten on the second row, 14 on the third row and so on. I know it's the sum of an arithmetic sequence, but I'm not sure exactly what to do.
82. ### trigonometry

A lighthouse BC of unknown height stands on the edge of a cliff AB. From a point O, 2500 ft from the base of the cliff, an observer measures the angles of elevation of the top and bottom of the lighthouse and finds them to be 15°40' and 12°13'. How high is the lighthouse.
83. ### Trigonometry

A rectangular box shown has dimensions 10" multiplied by 6" multiplied by 4" (a = 10, b = 6, c = 4). Approximate the angle theta formed by a diagonal of the base and a diagonal of the 6" multiplied by 4" side. (Give the answer to two decimal places.)
84. ### Trigonometry

A pine tree stands beside a road that has a 7 degree gradient. When the angle of elevation to the sun is 59 degrees, the tree casts a shadow of 31 ft down slope along the road. What is the height of the tree?
85. ### Trigonometry

Find the exact value of tan(a-b) sin a = 4/5, -3pi/2<a<-pi; tan b = -sqrt2, pi/2<b<pi identity used is: tan(a-b)=(tan a-tan b)/1+tan a tan b simplify answer using radicals. (a is alpha, b is beta)
86. ### trigonometry

A carpenter is building a house. He is constructing the roof. The roof has an angle of elevation of 40° from the horizontal. The height he wants to make the roof is 18 feet. How far is it from the bottom edge of the roof to the top of the roof? (Find the hypotenuse to the ...
87. ### trigonometry

this is exactly how the question is written and i tried to solve it but i just couldn't. Can u please show me how the work was done I don't want just the answer. using the exact values,find the value of: 12 sin 30degrees - 6 tan of 45 degress + sec 45 degrees / 52. please help!
88. ### Trigonometry

A golfer hits a ball off of the ground with an angle of elevation of 10 degrees and an initial velocity of 240 feet per second. There is an 80 foot tree 160 yards in front of her. Will she hit the ball over the tree?
89. ### trigonometry and geometry

A car dealership fences in a rectangular area behind their building to secure unsold vehicles. One length will be the back wall of the dealership. What is the maximum parking area that can be created if they have 2 km of fencing to use?
90. ### Math Trigonometry

A bus driver driving south along a highway is 16 km from the nearest city. After traveling a distance of 32 km, the driver finds he is 19 km away from the same city. Find the bearing of the town from the second position of the motorist.
91. ### Trigonometry

I'm having trouble figuring this out. An airplane has an airspeed of 160 mph. It is to make a flight in a direction of 80° while there's a 20 mph wind from 310°. What will the airplane's actual heading be? I'd appreciate any help especially on how you determined what angles ...
92. ### Trigonometry

I'm having trouble figuring this out. An airplane has an airspeed of 160 mph. It is to make a flight in a direction of 80° while there's a 20 mph wind from 310°. What will the airplane's actual heading be? I'd appreciate any help especially on how you determined what angles ...
93. ### Trigonometry

My question is little a=6.17,; little b=5.25, little c=3.02 . Find A
94. ### Trigonometry

cot^2(3x)sin(2x)-sin(2x)=0 2sin^2(5x)+sin(5x)-1=0
95. ### Trigonometry

Find the magnitude and direction of the resultant of two forces of 250 pounds and 45 pounds at angles of 25 degrees and 250 degrees with the x-axis, respectively.
96. ### trigonometry

Find all the angles between 0 degrees and 360 degrees which satisfy the equations a. 8 cos x sin x = sin x b. 5 tan^2 y + 5 tan y = 2 sec^2 y.
97. ### Calculus - Question

Am I allowed to do this? for the integral of ∫ sec^4 (3x)/ tan^3 (3x) dx I change it to ∫ sec^4 (3x) tan^-3 (3x) From here I use the rule for trigonometry functions.
98. ### trigonometry

A bicycle wheel has a diameter of 2 feet and turns at the rate of 70 revolutions per minute. How fast does the wheel move in feet per hour?
99. ### Math: Trigonometry

For how many values of n with 0<=n<=100 is the graph of f(x) = sin(x + n) identical to the graph of g(x) = cos(x)? I think that I should use the relationship that cos(x)=sin(90-x) but I'm not sure how.