# trigonometry

2,125 results, page 13

1. ### Trigonometry

how long is the cable that supports a 10m. high antenna if the cable is connected at the middle of the pole of the antenna and at the ground 6m. away from the base of the pole?
2. ### Trigonometry

The lengths of the diagonals of a parallelogram are 20 inches and 30 inches. The diagonals intersect at an angle of 35 degrees. Find the lengths of the parallelograms sides to the nearest hundredth.
3. ### Trigonometry

You observe a plane approaching overhead and assume that its speed is 700 miles per hour. The angle of elevation of the plane is 16° at one time and 58° one minute later. Approximate the altitude of the plane
4. ### Trigonometry

A boy is twirling a model plane on a string that is 2 meters long. If he twirls the plane at 0.4 revolutions per second, how far does the plane travel in 5 minutes? Give your answer in meters to 2 decimal places.
5. ### Trigonometry

Convert to polar coordinates with r greater than or equzl to 0 and theta between 0 degrees and 360 degrees Write the equation inpolar coordinates x squared + y squared = 2
6. ### Trigonometry

Evaluate the sine, cosine and tangent of -7pi/3. I got 1/2, sq. root of 3/2 and sq. root of three. My book says the sine and the tangent are negative, but I don't know why? Can you explain the rule??
7. ### Trigonometry

2cos^2(x) = 13sinx - 5 How do i solve for x? I think i have to use the sin^2x + cos^2x = 1, but I'm not sure how to use that. I thought about maybe doing 2(1-sin^2x) = 13sinx - 5 but then i get stuck. Any suggestions?
8. ### Trigonometry

a 30 feet ladder resting against a building makes a 60 angle with the ground . find the Height from the ground at which the ladder touches the building to the nearest foot
9. ### trigonometry

A plane is headed due west with an air speed of 300 mph. The wind is from the north at 80 mph. Find the bearing for the course and the ground speed of the plane.
10. ### Trigonometry

\sqrt{i} in polar form can be written as r(\cos \theta + i \sin \theta), where r is a real number and 0 \leq \theta \leq \frac{\pi}{2}. What is the measure of \theta (in degrees)?
11. ### Trigonometry

Every point (x,y) on the curve y = \log_{2}{3x} 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_{2}{(12x-96)} . What is the value of m + n ?
12. ### Trigonometry

Solve for the following equation to the nearest degree if needed for 0 less than equal to x less than equal to 360. sin^2x=cosx 2sin^2x+cosx-cos^2x=0
13. ### trigonometry

Draw and explain an angle of elevation of the top of a building is 60 degrees and the angle of depression of its base is 15 degrees observed from a window of another building 15m.away.
14. ### algebra & trigonometry

At a grocery store, the number of customers arriving per hour is shown by the function f(x) = 2x + 1. Find the number of customers that arrived in the 6th hour. Thanks
15. ### math trigonometry

a post is 20 m high. the angle of elevation of top of a house which is in front of the post is 30° from its top and 45° from foot . Find the height of house and distance between them.
16. ### trigonometry

A wheel with a 15-inch diameter is turning at the rate of 60 revolutions per minute. To the nearest inch per minute, what is the linear speed of a point on the rim?
17. ### Trigonometry

A building is 50 feet high. At a distance away from the building, an observer notices that the angle of elevation to the top of the building is 41 degrees. How far is the observer from the base of the building?
18. ### Trigonometry

a man has three golden spheres with radius 1mm,2mm,3mm,respectively. He plans to melt it and make a larger sphere. What will be the radius of the larger sphere?
19. ### Trigonometry

Express the following in radians: a.135degrees. --> (pi/180)*135 = how can i end up with a fraction answer?? b.-15degrees. --> (pi/180)* -15 = same here what are the steps to do next to get a fraction answer.
20. ### Trigonometry

Find the remaining trigonometric ratios of θ if sin(θ) is given and θ QI sin(θ)=7/sqrt 149 cos= tan= cot= csc= sec=
21. ### Trigonometry

Angle of Depression Find the angle of depression from the top of the lighthouse 250 feet above water level to the water line of a ship 2.5 miles offshore.
22. ### Trigonometry

a 100 pound box hangs between two ropes T1 and T2 the angle at the top of T1 is 28 degrees and the angle at the top of T2 is 35 degrees. what does T1 and T2 equal? Must show work
23. ### algebra & trigonometry

The profit of an organization is calculated by the function P(x) = x2 – 4000x + 7800000, where x is the number of units sold. If the net profit is 3800000, find the number of items sold. Thanks
24. ### Trigonometry

A hill in the Tour de France bike race has a grade of 8%. To the nearest degree, what is the angle that this hill makes with the horizontal ground? Round to the nearest tenth of a degree.
25. ### Trigonometry

A man standing on top of a mountain 1500m high observes the angle of depression of the top of a steeple to be 40 degrees, if the height of the steeple is 50m, how far is it from the mountain ?
26. ### Trigonometry

A plane leaves an airport and flies at 36 mph on a course of 103.25° for 1 hour and 33 minutes. Then it changes course to 236.75° and flies for 48 minutes. How far is it from the airport? If it wished to return, what would be its course?
27. ### Trigonometry

A tree casts a shadow 38 m long. At the same time, the shadow cast by a 34 centimeter tall statue is 69 cm long. Find the height of the tree to the nearest tenth.
28. ### Trigonometry

Use the power-reducing formulas to rewrite the expression in terms of the first power of the cosine. [#1.] (sin^4x)(cos^4x) [#2.] (sin^4x)(cos^2x)
29. ### Trigonometry

r = 1/32 v^2 sin 2 beta v is the initial velocity and beta is the angle of elevation. r = 35000 feet v = 3200 feet per second. What is the angle?
30. ### Trigonometry

Find the counterexample to shows that the equation sec (alpha) - cos (alpha) = sin (alpha) sec (alpha) is not an identity. Please explain.
31. ### Trigonometry

If a ship leaves port at 9:00 a.m. and sails due south for 3 hours at 14 knots, then turns N 60° E for another 2 hours, how far from port is the ship? A. 14 nm B. 17.75 nm C. 21.5 nm D. 22.6 nm PLEASE HELP!
32. ### trigonometry

If a tree casts a shadow of 12 feet at the same time that 6 foot person casts a shadow what is the length of the three to the nearst foot
33. ### trigonometry

Can you draw the ans. To make it clear to me , please? Establish identity: tan∅ + cot∅ -------------- = csc²∅ tan∅
34. ### Trigonometry

Write each expression in the standard form for a complex number, a + bi. A. [3(cos(27°)) + isin(27°)]^5 B. [2(cos(40°)) + isin(40°)]^6 For A i got 2.67+1.36i and for B i got 1.53+1.29i
35. ### trigonometry

the angle of elevation of a tower at place A south of it is 30degrees and at B west of A and a distance of 50 from it the angle of elevation is 18degrees, determined the height of the tower
36. ### trigonometry(height and distance)

The shadow of a tower when the angle of elevation of the sun is 45 degree is found to be 5m longer when it is 60 degree. Find the height of the tower.
37. ### trigonometry(height and distance)

The shadow of a tower when the angle of elevation of the sun is 45 degree is found to be 5m longer when it is 60 degree. Find the height of the tower.
38. ### Trigonometry

State the amplitude of the following functions: a) y = cos theta b) y = 1/2cos theta c) y = -2cos theta
39. ### trigonometry

Given that tan A = 2 tan B (B is the symbol for Beta) show that tan (A-B) = sin 2B/3- cos2 Beta.
40. ### Trigonometry

find cos (u+v) when cos v=(1/3) and sin u=(2/5) I found sin (v) to equal (sqrt8)/3 and cos (u)= (sqrt21)/5
41. ### maths

prove that sin sqared pie/6+ cos sqared pie/3-tansqare pie/4=1/2 in trigonometry
42. ### trigonometry

The bearing of the lighthouse is N 68 degress E from a ship 43 miles from the lighthouse. How far north of the ship is the lighthouse?
43. ### Trigonometry

a boat travels on a course of bearing n 37 10' W for 79.5 miles. How many miles north and how many miles west has the boat traveled?
44. ### Trigonometry

Let T be a right triangle with a hypotenuse of the length 37. If another side of the triangle is known to be 35, what must the third side of the triangle be?
45. ### Trigonometry

these values right? tan theta=2/3 sec theta=Squareroot(13)/3 sine=2xSquareroot(13)/13 Cos=3xSquareroot(13)/13 Tan=2/3 Cosecant=Square root (13)/2 Secant=Squareroot(3)/3 Cotangent=3/2
46. ### Vectors

Given the vectors below, determine the resultant and the equilibrant using trigonometry. Show all your steps. 330.0 newtons @ 125 degrees 250.0 newtons @ 60.0 degrees
47. ### Trigonometry

I need help with the inverse of si, cos, & tan. So far on one problem I've gotten sinX = 29/14 where do I go from here? I know you have to use cos^-1, but how? Can anyone work this one problem out for me to see how to do it? THANKS!
48. ### trigonometry

Towers A and B are on the east-west line 125 m apart. Jojo, on the north of that line finds that the direction of towers A and B are N 39deg27mins E and N 50deg33mins W, respectively. How far is Jojo from each tower?
49. ### Trigonometry

Add 3+ 4i and -4+2i graphically My class got 1+ 2 radical 10 /2 and 1-2 radical 10 /2 . whenever i put this into the y= graph, nothing shows up on the graph. Can someone tell me how to solve this algebraically and graphically?
50. ### Trigonometry

an airplane over the pacific sights an atoll at a 11 degrees angel angle of depression. if the plane is 410 m above water how many kilometers is it from a point 410 m above the atoll
51. ### Trigonometry

I'm having a lot of trouble with graphing trig functions. Can anyone tell me how to graph this equation on a graphing calculator? Sketch the graph of y= sin x in the interval 0 ≤ x ≤4π
52. ### Trigonometry

Verify the identity algebraically. This problem is very intriguing and awesome at the same time. It's wonderfully amazing! 1.) TAN³α-1/TAN α-1= TAN²α + TAN α + 1
53. ### Math, trigonometry

An observer in a lighthouse 47m high sights a ship at at an angle of depression of 4.25• if the the foot of the light house is at sea level how far is the ship from the foot of the lighthouse
54. ### Trigonometry

In travelling across flat land, you notice a mountain directly in front of you. Its angle of elevation (to the peak) is 4.5°. After you drive 13 miles closer to the mountain, the angle of elevation is 9.5°.
55. ### Trigonometry

Given sin x = 4/7 and cos x = negative square root of 33 over 7, find cot x. I think it's square root of 33 over 4!
56. ### trigonometry

A 36 ft. ladder is used to reach the top of 28ft. wall. If the ladder extends 2 ft. from the top of the wall, find its inclination to the horizontal.
57. ### Plane Trigonometry

A segment of height 3 meters from the center of chord to center of arc has an arc of 1/3 radians. Find the area of the segment.
58. ### Trigonometry

If the distance covered by an object in time t is given by s(t) = t^2 + 5t , where s(t) is in meters and t is in seconds, what is the distance covered in the interval between 1 second and 5 seconds?
59. ### Trigonometry

A segment of height 3 inches (distance from center ofchord to center of arc) has an arc of .4 radian.find the area of a segment.
60. ### Trigonometry

two sightings of the top of a flagpole are taken 75 meters apart on level ground. The two sightings are 21° and 32°. What is the height of the flagpole?
61. ### Trigonometry

A scientist has 37 grams of a radioactive substance that decays exponentially. Assuming k=-0.3,how many grams of radioactive substance remain after 9 days.

If θ is an angle in standard position and its terminal side passes through the point (−3,2), find the exact value of cscθ . I know the answer...but i want to know how you get the answer... The answer is radical 13/2
63. ### Trigonometry

use the appropriate trig identity (sum and difference, half angle, double angle) to find the exact value. 1)cos 255 degrees 2) sin 165 degrees 3) tan 285 degrees
64. ### trigonometry

From a point 55 feet in front of a church, the angles of elevation to the base of the steeple and the top of the steeple are 35 degree and 49 degree 20 minutes, respectively, Find the height of the steeple. (Round your answer to one decimal place).

The Vietnam Veterans Memorial in Washington, D.C., is made up of two walls, each 246.75 feet long, that meet at an angle of 125.2°. Find, to the nearest foot, the distance between the ends of the walls that do not meet.
66. ### Trigonometry

Usa a right triangle to write each expression as an algebraic expression. Assume the referenced angle is theta, and x is positive and in the domain of the given inverse trig. function. Label the triangle. 1. sec^sq(tan^-1x) 2. sin(arccot x/(sqrt)1-x^2)
67. ### Trigonometry

Solve the following trig equations. Give all positive values of the angle between 0 degrees and 360 degrees that will satisfy each. Give any approximate value to the nearest minute only. 3 sin è - 4 cos è = 2 Can you please help me with this one.

Solve this trigonometric equation.give all positive values of the angle between 0deg and 360deg that will satisfy. Give any approximate value to the nearest minute only. 3 sin theta - 4 cos theta = 2
69. ### Trigonometry

Suppose a triangular silk scarf has both of its shortest sides 14 inches long. If the angle between these sides is 110º, what is the area of the scarf? Round your answer to the nearest tenth of a square inch. (Enter only the number.)
70. ### Trigonometry

Use a graph of the function to approximate the solution of the equation on the interval [−2π, 2π]. (List the solutions in increasing order from left to right on the x-axis. Round your answers to three decimal places.) cot x = −1
71. ### Trigonometry

A crow is on the ground 80 feet from the base of a 45 foot tall tree. It then flies straight throught the air to the top of the tree. What is the angle of the crow's flight path relative to the ground ?
72. ### Trigonometry

Suppose you have an isosceles triangle, and each of the equal sides has a lenght of 1 foot. Suppose the angle formed by those two sides is 45^\circ. Then the area of the triangle is square feet.
73. ### trigonometry

two points, A and B, are 526 meters apart on a level strecth of road leading to a hill. The angle of elevation of the hilltop from A is 26deg30mins, and the angle of elevation from B is 36deg40mins. How high is the hill?
74. ### trigonometry

Suppose (x, y) =(4, -5) and θ is an angle in standard position with (x, y) on its terminal side. What is the degree measure of angle θ? im not sure how to do this one problem plz show step by step
75. ### Precalculus with Trigonometry

What values of theta between 0 and 2pi solve the following equation? sin squared (2theta)-sin(2theta)-2=0 NOTE: if you choose to plot this, a good WINDOW is (0,2pi) x (-3,3).
76. ### TRIGONOMETRY

3. The rectangular coordinates of a point are given. Find the polar coordinates of each point. b. (0,3) I figured out a, but I canNOT figure out b. Can someone please explain? :)I need to know how to do this for my final next week.
77. ### trigonometry

Can you draw the The solution for this: Establishing identities 1.) Sin²∅ (1+cot²∅) = 1 2.) (tan²B+1) cos²B = 1 3.) tan x ---------- = sin x sec x 4.) 1 1 ------- + ------- = 2csc²∅ 1+cos∅ 1-cos Please help me, i cant understand it.
78. ### Trigonometry

Two circles, whose radii are 12 inches and 16 inches respectively, intersect. The angle between the tangents at either of the points of intersection is 29'30'. Find the distance between the centers of the circles.
79. ### trigonometry

from a point 3 m above the water surface, the angle of elevation of the top of a certain tree is 30°40', while the angle of depression of its image is 65°10'. Find the height of the tree and its distance from the point of observation.
80. ### Trigonometry

For 0<x<pi/2, sin x and cos x are both less than 1 and greater than 0 (easy to see). We are also given that sin^2x+cos^2x=1. Use this to show that sin^7x+cos^7x<1 for 0<x<pi/2. Unsure on how to proceed?
81. ### trigonometry

using the law of sines, solve the rest of the triangle: side C=14 side B=4 angle c=145 degrees i got angle b= 9.4 angle a=25.6 side A=10.4 but i didn't know if it was correct
82. ### Calculus

So,y(t) = 2.5e^-t cos2t I need to find the derivative, which is y'(t)= -2.5e^-t(2sin 2t +cost 2t) . And now I need to find t when y'(t) = 0 (I know 2.5 e^-t is never zero.) I need to use trigonometry identity to find it ?
83. ### Pre-Calculus ( Trigonometry)

The point P(k, 24) is 25 units from the origin. If P lies on the terminal arm of an angle, theta, in standard position, 0 < theta < 360,determine the measure of theta. Unsure how to go on from here. I'd appreciate if someone can guide me through the first few steps Thank...
84. ### trigonometry

A wheel with a 21-inch diameter is turning at the rate of 58 revolutions per minute. To the nearest inch, what is the velocity of a point on the rim in inches/minutes? 3879 inches/minutes is my answer correct??
85. ### Trigonometry

Hi, this question concerns a right angled triangle. If I know the hypotenuse of the triangle is 16cm and I know the adjacent side to an unknown angle is 14cm which trigonometric ratio would I need to find the unknown angle? Many thanks
86. ### trigonometry

Express as a function : c.tan (810degrees + theta ) I'm confused between two answers . 1. that it would be tan 90 deg (which is undefined) 2. it would be cot theta ?? can you tell me what i should do to get the right answer.
87. ### trigonometry

Two buildings with flat roofs are 60m apart. From the roof of the shorter building, 40m in height, the angle of elevation to the edge of the roof of the taller bldg. is 40°. How high is the taller bldg.?
88. ### math trigonometry

A ladder 8.5m long is placed with its foot at a distance of 4m from the wall of a house and just reaches a window will . find the height of a window will and the sine and tan of the angle which the ladder makes with the wall
89. ### trigonometry

Find all solutions on the interval [0.2pi) A) -3sin(t)=15cos(t)sin(t) I have no clue... b) 8cos^2(t)=3-2cos(t) All i did was move around the equation to make an quadratic for B. so -8cos^2(t)-2cos(t)+3 = 0
90. ### Trigonometry damon plz help

If the angle of a h meters long tower is in a straight line between two observers A and B angle of elevation of the top of the tower from A and B are alpha and beta respectively and AB=D meters find h/d
91. ### plane and spherical trigonometry

a ladder 38 feet long is leaning against the side of a wall. if the angle between the ladder and the wall is 54 (degrees) approximately how far is the bottom of the ladder from the wall?
92. ### trigonometry

1) Perform the operation and leave the result in trig. form. [3/4(cos pi/3 + i sin pi/3)][4(cos 3pi/4 + i sin 3pi/4)] Thanks
93. ### Math (Trigonometry)

Given that sin 53∘ = T, how many values of N, subject to 0 ≤ N ≤ 1000 are there, such that sin N∘ = T?
94. ### Math (Trigonometry)

1. If sec x + tan x = 3/2 and 0 ≤ x ≤ pi/2 then the value of sin x is... 2. If 0 ≤ x ≤ pi/2 and tan²x + sec x = 5 then cos x = ... Please help
95. ### Trigonometry

Simplify each expression using fundamental identities. 1. Sin theta cot theta 2. 1-sin^2 theta / cos theta
96. ### Trigonometry

Help please? I'm getting really confused. >>>csc^2A+sec^2A = sec^2A csc^2A >>>1+{(tan^2A)/(1+secA)] And the "1" is getting me frustrated xO
97. ### trigonometry

An airship has an altitude of 800 m , in a distance, a village is seen with an angle of depression 12 °. Find the distance of the airship from the village..
98. ### Trigonometry

a diagram shows a cross section of a triangular prism. AB=BC=7cm. BM=5cm m is the midpoint of the line segment AC. a) explain why angle AMB must be a right angle. b) calculate angle BCM. c) calculate area of the triangle
99. ### 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
100. ### 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 ...