# trigonometry

2,125 results, page 14

1. ### Trigonometry

Graph the function y=2sin(x-2pi/3). To draw the graph, plot all x-intercepts, minima and maxima within on period. I need to graph at least 5 points. I have -pi, 0, pi, 2pi, 3pi, and 4pi along the x-axis
2. ### Trigonometry

Theta = x Question: Given angle x, where 0degrees <= x <= 360 degrees, solve for x to the nearest degree. b) sin(x + 20degrees) = 0.2045 c) tan(90degrees - 2x) = 1.6443 I am confused as to where 148 degrees comes from in question b and how there are 4 possibilities in ...
3. ### Summer School Calculus

Add the following vectors , 7m/s [N30E] and 2m/s [S17E], using trigonometry. Once you draw these out into diagrams, you use the triangle law yes? How do you find the angles to use in the cosine and sine law? A little confused, thanks for the help.
4. ### trigonometry

Using exact values,find the value of: (A=30degrees) sin 2A + tan 3A/2 - cos A + sec(A+15), when A= 30degrees There were no parentheses and no exponents. please help by showing the work in details. Thank you! I pluged in the numbers and got this I don't know if its right or ...
5. ### trigonometry

can you explain to me in details please of how these type of questions can be answered without using a calculator to find the direct answer. Find the following functions correct to five decimal places: a. sin 22degrees 43' b. cos 44degrees 56' C. sin 79degrees 23'30'
6. ### Trigonometry

A triangle has two angles, one 90 degrees, the other (between adjacent and hypotamuse) 26 degrees, and a hypotamuse of 10ft. Find the opposite side's length. Hint: use sine. I think I'm supposed to do 10(sine26), but the answer isn't right. What am I missing? Thanks!
7. ### Graphing - Trigonometry

Below is the graph of y = a cos(bx+c)+d, where a, b, and c are positive, and c is as small as possible. Find a + b + c + d. prntscr. com/20mkyo The link is to a screenshot of the graph. (without spaces) I'm unsure of how to solve - I tried it and got y = 2 cos (2/3x + 5pi/2...
8. ### Trigonometry

Round your answer to three significant digits. Use the distances shown in the following figure to determine the depth of the submarine below the surface of the water. Assume that the line segment between the surface ships is directly above the submarine.
9. ### Trigonometry

5. If a trig equation has one answer, how many answers will it have? (Provided you do not restrict the domain?) 6. Why are the graphs of the inverse functions restricted to one period of the function? I only need to answer these two to finish my homework and I can't figure out...
10. ### Trigonometry

x square root of 2 + 3x =4 all over square root of 2
11. ### Trigonometry

Prove that (cosy/1+siny) + (1+siny/cosy) = 2secy
12. ### Trigonometry

What are the steps in verifying that -ln|secx+tanx| = ln|secx-tanx| Thanks
13. ### trigonometry

tanx-cotx/tanx+cotx=1-2cos squardx
14. ### Calculus/Trigonometry

What is the value of x in the equation of an ellipse??? Equation of an ellipse - (x^2/a^2) + (y^2/b^2) = 1
15. ### maths (trigonometry)

1+sin a- cos a/1+sin a +cos a eual to ?. How?
16. ### maths trigonometry

if sin A + sin^2 A = 1, then the value of cos^A + cos^4 A is (A) 2 (B) 1 (C) -2 (D) 0
17. ### Trigonometry

Prove 1-cosx+sinx / 1+cosx+sinx =tan x/2
18. ### trigonometry

VERIFY:(1-sinx)/(1+sinx)= sec^2x-2secxtanx+sec^2x-1
19. ### Trigonometry

Verify the identity. (Cos x - sin x)^2 + (cos x + sin x)^2=2
20. ### trigonometry.

In a right triangle sinA= 3/5 and C=17. Find a and b. Be sure to draw a right triangle and letter it properly. how can i solve the math in this problem. i know i would have to use the Pythagoream Theorem but i don't know how to set the problem up first.
21. ### Trigonometry (Math)

From the top of a building 70 ft. high, two objects in a straight line from the building are observed at angles of depression of 28° and 41°6' respectively. Find the distance between the two objects. -Complete Solution please. :'(
22. ### Trigonometry

In 2010, the population of a country was 70 million and growing at a rate of 1.9% per year. assuming the percentage growth rate remains constant express the population P, as a function of t, the number of years after 2010.
23. ### College Trigonometry

From a point 200 yards from the foot of a building, the angle of elevation to the top of the building is 37 degrees. Find the measure of the angles of the triangle formed by the building, the ground, and the line of sight to the top of the building?
24. ### check set up trigonometry

Lee is on a cliff 360 m above sea level, the angle of depression of a ship is 28 degrees. To the nearest meter, what is the distance between the ship and the base of the cliff? tan28=x/360?
25. ### Trigonometry

two pulleys of a car engine radius of 8 cm and 5 cm respectively are connected by a belt. The larger pulley rotates 80 times per minute. Find the angular velocity of each pulley in radians per minute.

A wheel of a child's car revolves at 15 rpm. a) What is the angular velocity of the wheel in radians per seconds? b) A painted dot on the circumference of the wheel is 12 cm from the center of rotation of the wheel. How far does the dot travel in 5s?
27. ### Trigonometry

An airplane is traveling at 650 mph on a heading of 255°. The wind is blowing from a bearing of 320° at 28 mph. What is the ground speed and the actual bearing of the airplane? P.S. I prefer the law of cosine/sine method
28. ### Trigonometry

How do I evaluate the trigonometric functions of the quadratic angle? Thanks in advance 1) sec π 2) tan π 3) cos π For this problem, I don't understand why it's -1 4) csc π 5) sec 3π/2
29. ### trigonometry

A truck with 48-in.-diameter wheels is traveling at 55 mi/h. Find the angular speed of the wheels in rad/min, *hint convert miles to inches & hours to minutes: __rad/min How many revolutions per minute do the wheels make?__ rpm
30. ### Trigonometry

An airplane is sighted at the same time by two ground observers who are 2 miles apart and both directly west of the airplane. They report the angles of elevation as 11˚ and 20˚. How high is the airplane? Round to the nearest hundredth of a mile.
31. ### trigonometry

Umm..Im having trouble with solving word problems that involves application of solving right triangles, and also in bearing.. Well, particularly in the drawing/sketching, you know when I don't even know that the triangle described in the problem is not a right triangle then I ...
32. ### trigonometry

If the height of the building is 250 feet, what is the distance from the top of a building to the tip of its shadow? A. 75.4 feet B. 113.1 feet C. 0.003 feet D. 331.3 feet
33. ### trigonometry

If sin 57=m then express the following questions 1. Sin 237 2. cos 33 3. cos 3 4. cos 66
34. ### Trigonometry Paper 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!!!!
35. ### math trigonometry

My question is kinda hard i don't know how to start the problem to get my answer. the question is: You are cleaning the gutters on your house. the gutters are @ a height of 24 feet. if you have a 50 foot ladder, what is the minimum angle the ladder can form with the ground?
36. ### Trigonometry

An airplane is flying on a heading of 115° with a constant velocity of 675 mph. How far south will it travel in 2 hours if it continues to maintain its velocity? A. 290 miles B. 570 miles C. 310 miles D. 610 miles
37. ### Trigonometry

Points A and B 1000 meter apart are plotted on a straight highway running east and west. from A, the bearing of tower C is N32*W and from be, the bearing of C is N64*E. approximate the shortest distance of the tower from the highway. please explain........
38. ### trigonometry

a tower 150 meter is situated at the top of the hill.At a point 650 m down the hill.The angle between the surface of the hill and the line of sight to the of the tower is 12degrees 30 '.Find the inclination of the hill to a horizontal plane.
39. ### trigonometry

solve the equation: 4 tan^2 x + 12 sec x +1 =0, for 0 degrees is less than or equal to x is less than or equal to 360 degrees.
40. ### trigonometry

Solve the following equation for all solutions: sin(6x)cos(11x)-cos(6x)sin(11x)=-.1
41. ### trigonometry ?

A cottage under construction is to be 15.6m wide. The two sides of the roof are to be supported by equal rafters that meet at a 52 degree angle. Determine the length of the rafters to the nearest cm using a) the cosine law b) the sine law I am not understanding this question ...

the playground at a daycare center has a triangular-shaped sandbox. Tow of the sides measure 20 feet and 14.5 feet and form and included angle of 45 degree. Find the length and the third side of the sandbox to the nearest tenth of a foot.
43. ### Math: Trigonometry/Geometry

Carlos is planning to build a grain bin with a radius of 15 ft. he reads that the recommended slant of the roof is 25 degrees. He wants the roof to over hang the edge of the bin by 1ft. What should the length of X be? Give answer in Feet and Inches....Explain
44. ### trigonometry

hello fellas ... please help me with this,a farmer cooperator in an agricultural research wishes to fence the field in the form of right triangle. if one angle is 30° and the hypotenuse is 100m. find the cost of the fencing of the field if each meter of fencing materials ...
45. ### Trigonometry

I'm trying to find the cosecant of 11 pi/6. The answer is -2, but I'm not sure where this came from. I thought You would flip the sine value which was sq. root of 3/2, making it 2/sq. root of three, which would then become sq. root of -6 over 3 or sq. root of -2. Why isn't ...
46. ### trigonometry

The problem is: Solve each of the following equations over the interval [0,2Pi). 2sin^2 x - 1 = 0 The answers are: Pi/4, 3Pi/4, 5Pi/4, 7Pi/4 I know how to get the first two answers, but I'm not sure how you get the last two answers, since sin would be negative in quadrants 3 ...
47. ### plane and spherical trigonometry

a farmer has a triangular garden with two sides at right angles and the third side measuring 380 (feet long.)Find the perimeter of the garden if the angle between the shaded side and the longest side is 52(degrees)
48. ### Math

I am a little confused with this trigonometry question. It says that sin0=O. I understand that because It says sin it means quadrant 1 and 2. The possible answers are 0, 90, 180, and 270. I know 270 is not correct but the others are confusing me. Angles 0, 90, and 270 lie on ...
49. ### Trigonometry

What is cos (pi/2 - x) secx using the fundamental identities to simplify the expression. I think I have the right answer but I want to check to make sure. Well, cos (pi/2 - x) is something you should've seen already. It's just another name for sin(x). Also, sec(x) is the same ...
50. ### trigonometry

Use logarithms and the law of tangents to solve the triangle ABC, given that a=21.46 ft, b=46.28 ft, and C=32°28'30" Also Give checks. I know the use of logarithms is unnecessary but i have to show my solution by using logarithms and that's the only reason I'm asking for help...
51. ### trigonometry

There is a plane arriving into Denver, CO. The plane is landing with an angle of depression of 42°. The plane is 18,000 feet off of the ground. Find how far the plane will travel horizontally before hitting the ground. (Round to the nearest hundredth)
52. ### Trigonometry

A vertical pole 40 feet tall stands on a hillside that makes an angle of 17 degrees with the horizontal. Approximate the minimum length of cable that will reach the top of the pole from a point on the hillside 72 feet downhill from the base of the flagpole.
53. ### Math 12A Plain Trigonometry

a boat leaves lighthouse P and sails 10 miles. At the same time, it is sighted from lighthouse Q, 13 miles west of P. The bearing of the ship from Q is North 70 degree and 30 minutes East. Find the distance of the ship from Q.
54. ### Trigonometry

two airplanes leave an airport at the same time one hour later they are 189km/hr apart. if one plane traveled 168km/hr and the other traveled 244km/hr for the hour what is the angle between their flight path
55. ### Trigonometry

What value(s) of theta solve the following equation? cos^2(theta)-cos(theta)-6=0? I try plugging in different numbers but I am not sure exactly what I am looking for in order to solve?
56. ### Trigonometry

Navigation A ship leaves port at noon and has a bearing of S 29° W. If the ship sails at 20 knots, how many nautical miles south and how many nautical miles west will the ship have traveled by 6:00 P.M.?
57. ### Trigonometry

Hi, I really need help in understanding how to solve trig equations. How do you solve this equation? Solve the equation on the interval 0 < or equal to x < or equal to 2pi. sinx = (square root of 3)/2 I appreciate your help. Thank you!
58. ### trigonometry

A tent pole is 85 feet high. A cable is attached to the ground 200 feet from the tower base. How long is the cable? What is the measure of the angle the cable makes to the ground?
59. ### trigonometry

A Wheel of radius 14in. is rotating 0.5 rad/sec. What is the linear speed v, the angular speed in RPM ( rev per min), and the angular speed in deg/sec?
60. ### Math - Trigonometry

Verify the following: 1. cos x/(1-sinx)= sec x + tan x 2. (tanx+1)^2=sec^2x + 2tan x 3. csc x = )cot x + tan x)/sec x 4. sin2x - cot x = -cotxcos2x
61. ### algebra/trigonometry

What are the values of theta in the interval 0degrees less than or equal to theta less than or equal to 360 degrees that satisfy the equation tan theta - radical3=0
62. ### Trigonometry

How am I suppose to transform the left side of the equation into the right side using trig identities? ): 1) sin^2θ - cos^2θ = 2 sin^2θ - 1
63. ### trigonometry

A sector AOB of a circle, centre O, radius r cm, where the acute angle AOB is theta radians. Given that the perimeter of the sector is 14 cm and that the area of the sector is 10 cm^2, evaluate r and theta.
64. ### Plane and Spherical Trigonometry

A man walks 20 meters from point A to point B, Then he turns 80 degrees and walks 35 meters towards point C. How long is the distance AC? Draw the triangle
65. ### Trigonometry

Solve the equation cos2θ = 1/2sinθ 0º≤θ≤90º. (Hint: Graph each side of the equation and determine where the graphs intersect.)
66. ### Trigonometry

Directly below a 50m. high cliff is the side of a river. How wide is the river if the angle of depression from the edge of the cliff to the other side of the river is 57.68 degree
67. ### Trigonometry

A little boy is flying a kite. The string of the kite makes an angle of 30 dgrees with the ground. If the height of the kite is h equals 15 m, find the length (in meters)of the string that the boy has used.
68. ### Trigonometry

I just want to know if this answer is correct, 120/169. Use identities to find the indicated value for each angle measure. sin θ = 12/13, cos θ > 0 Find cos (2θ).
69. ### trigonometry

The side of a lake has a uniform angle of elevation of 15 degrees 30 feet. How far up the side of the lake does the water rise if the height of the lake increases by 7.3 feet during flood season.
70. ### trigonometry

R and S are in the same horizontal plane as the base of a cliff, but R is 132.6 meters nearer it than is S. They find the angles of elevation of the top of the cliff to be 32 degrees and 36 minutes and 63 degrees and 13 minutes. how high is the cliff?
71. ### Trigonometry

You are flying a kite while standing 60 ft from a fence. If the kite string makes a 40 degree angle with the ground, how much string, in feet, is let out when the kite is directly above the fence?
72. ### Trigonometry

Two fire towers are 30 km apart, tower A being due west of tower B. A fire is spotted from the towers, and the bearings from A and B are E 14° N and W 34° N, respectively. Find the distance d of the fire from the line segment AB.
73. ### trigonometry

A kite string is 350 meters long. The angle the string makes with the ground is 50 degrees. How far from the person holding the string is a person standing directly under the kite?
74. ### Math - Trigonometry

Solve for x, correct to one decimal place. It`s a right angle triangle. The height for the triangle is 4 cm with a 48° angle. The bottom of the triangle is an x. I got the answer 3.3 cm, is this correct? Any help would be appreciated. Thanks!
75. ### Trigonometry

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

Express each of the following as a single logarithmic expression. All exponents must be left in radical form: 1.) 2logx-3logy 2.) logx-logy+logz 3.) 1/3log5x+2/3log6x 4.) 2/3(logbase2 x - logbase2 y) I don't understand these problems at all. Can someone please solve and ...
77. ### Trigonometry

Write equivalent equations in the form of inverse functions for a.)x=y+cos è b.)cosy=x^2 (can you show how you would solve) a.) x= y+ cos è cos è = x-y theta = cos^-1(x-y) b.) cosy=x^2 cos(y) = x^2 y = Cos^-1(x^2)
78. ### trigonometry

if cosθ=2/3 and tanθ<0 find the exact value sin(θ-5π/3) sin2θ cos2θ cos(θ/2) can some1 please help me?
79. ### maths

Sine and Cosine rule are both used in solving trigonometry problems.Give an example of when the cosine rule is more appliciable than the sine rule?
80. ### Trigonometry

An observer (0) spots a plane flying at a 55 degree angle to his horizontal line of sight.If the plane is flying at an altitude of 21,000 ft., what is the distance (x) from the plane (P) to the observer (0)
81. ### Math-Trigonometry

Show that if A, B, and C are the angles of an acute triangle, then tan A + tan B + tan C = tan A tan B tan C. I tried drawing perpendiculars and stuff but it doesn't seem to work? For me, the trig identities don't seem to plug in as well. Help is appreciated, thanks.
82. ### Trigonometry

Could someone please help me with the following q's I'm having some trouble: 1.) cot θ (theta) = 0.791, find sec θ and tan θ 2.) tan θ = 9/40, what is the value sin^2θ + cos^2θ
83. ### Trigonometry

The angles of elevation of an office building as observed from the top and ground level of a 10 meters tall residential building are 68° and 72° respectively. How tall is the office building? How far apart are the two buildings?
84. ### trigonometry

From a window 20m above the ground, a person could see the top of the house across the street at an angle of elevation of 5 degrees. The angle of depression to the base of the house was 15 degrees. What is the height of the house?
85. ### Trigonometry

Three forces with magnitudes 75 pound, 100 lb, and 130 pound act on an object at angles of 25 degrees, 55 degrees, and 145 degrees respectively. Find the direction and magnitude of the resultant of these forces.

Trigonometry Questions 1.) Find the exaqct value of tan(11π/12) 2.) A linear trig equation involving cosx has a solution of π/6. Name three other possible solutions 3) Solve 10cosx=-7 where 0≤x≤2π
87. ### trigonometry

please help me to solve this problem: calculate the angular velocity of a point for the given number of revolutions and time. express the answer on in radians per minute. 1.θ=1/2;t=2min. 2.θ=1/4;t=5min. 3.θ=2/3;t=10min. 4.θ=3/5;t=12min. 5.θ=5/6;t=15min...
88. ### trigonometry

can you tell me how to actually do this. find thenumebr of radians through which the hour hand of a clock turns in 5 hours. i don't know what i did, this is what i wrote: 360degrees=1 hour 1800 degrees=5 hours 1800(pi/180) somehow i got 10pi which is apparantly wrong.
89. ### Pre-Calc/Trigonometry

You place a cup of 205oF coffee on a table in a room that is 72oF, and 10 minutes later, it is 195oF. Approximately how long will it be before the coffee is 180oF? Use Newton's law of cooling: 1 hour 25 minutes 15 minutes 45 minutes

Assume that simple harmonic motion of a spring is described by the equation S=4 cos πt/ 2 where s is in centimetres and t is in seconds. When during the time 0<=t<=8 is the spring passing through the origin? I attempted this question but the graph doesn't pass ...
91. ### trigonometry

Solve the equation in the interval [0, 2pi]. 2sin(t)cos(t)-cos(t)+2sin(t)-1=0 Answer needs to be formatted as x={Insert answers here}pi If the answer is something like pi/6 it simply goes in as 1/6th since pi is already given at the end.
92. ### **tRiGoNoMeTrY**

A weight is oscillating on the end of a spring. The position of the weight relative to the point of equilibrium is given by y=1/12(cos8t-3sin8t), where y is the displacement (in meters) and t is the time (in seconds). Find the times when the weight is at the point of ...
93. ### trigo

In a right tringle ,angle ABC has a value of 37 degree while its opposite side is equal to 5,where angle c=90 degree Find A.)Remaining sides of the triangle B.)Angle ABC using any trigonometry Functions
94. ### Trigonometry

A black bordering Sapphire St. is a right triangle. You start walking around the block, taking 125 paces on sapphire st. and 102 paces on Diamond st. a.) At what angle do Diamond and Sapphire Street Intersect ?
95. ### trigonometry

A tree is broken over by the wind. It forms a right angled triangle with the ground. If the broken part makes an angle of 60° with the ground and the top of the tree is now 20m from its base, how tall WAS the tree?
96. ### trigonometry

A tree broken over by the wind forms a right triangle with the ground if the broken parts makes an angle 50 degree with the ground and the top of the tree is now 20 feet from its base how tall the tree?
97. ### Trigonometry

You are making a garden in a triangular lot, and needed a top soil of mixed humus and fertilized. what is the area of the lot needed to cover by soil if the edge of the lot measures 10ft.,8ft. and 6ft.,?
98. ### Trigonometry

A tree is broken by wind forms a right angled triangle with the ground. If the broken part makes an angle 60 degree with the ground and the top of the tree is now 20 metre from its base,how tall was the tree?
99. ### TRIGONOMETRY

Write the following trigonometric expression as an algebraic expression in x free of trigonometric or inverse trigonometric functions sin(cos^-1 x) -1≤x≤1
100. ### Trigonometry

1. If tanθ = –√3 , what is the value of cot ? 2. Find the value of 3sec2.4. (Round to the nearest tenth.) 14.if sinθ = -4/5 and tanθ = -4/3, what is