# Homework Help: Math: Trigonometry

## Recent Homework Questions About Trigonometry

**trig**

A tree on a hillside casts a shadow c ft down the hill. If the angle of inclination of the hillside is b to the horizontal and the angle of elevation of the sun is a, find the height of the tree. Assume a = 48°, b = 18° c = 235 ft. (Round your answer to the nearest whole ...

*Thursday, November 29, 2012 by Anonymous*

**precalc/trig**

olve for the interval [0, 2pi]. cos(x+ pi/4)+cos(x- pi/4)=1

*Thursday, November 29, 2012 by bob*

**trig**

A plane has an airspeed of 200 miles per hour and a heading of 28.0°. The ground speed of the plane is 207 miles per hour, and its true course is in the direction of 38.0°. Find the speed and direction of the air currents, assuming they are constants. (Round your answers to ...

*Thursday, November 29, 2012 by bryan*

**trig**

angles of elevation to an airplane are measured from the top and the base of a building that is 40 m tall. The angle from the top of the building is 31°, and the angle from the base of the building is 40°. Find the altitude of the airplane. (Round your answer to two decimal ...

*Wednesday, November 28, 2012 by Barb*

**trig**

given that 0 is less then or equal to theta and theta is less then or equal to pi. ans cos theta = 2/squar root of 7. Find sin theta

*Wednesday, November 28, 2012 by Lilly*

**Pre-Cal Trig**

Two lookout towers are situated on mountain tops A and B, 4 mi from each other. A helicopter firefighting team is located in a valley at point C, 3 mi from A and 2 mi from B. Using the line between A and B as a reference, a lookout spots a fire at an angle of α = 37° ...

*Wednesday, November 28, 2012 by Kendall*

**Trigonometry**

How do you solve this trig identity? Using @ as theta: Sin@-1/sin@+1 = -cos@/(sin@+1)^2 I've tried it multiple times but I can't seem to arrive at the answer.

*Tuesday, November 27, 2012 by Sammy*

**trig**

If tan y = -4/3 and y is in Q I'VE find cos 2y

*Tuesday, November 27, 2012 by Maddie*

**Math (trigonometry)**

How do you solve this trig identity problem without factoring? I just used @ to represent theta: sin^4@ + 2sin^2@cos^2@ + cos^4@ = 1

*Tuesday, November 27, 2012 by Sammy*

**trig**

If tan y = -4/3 and y is in Q I'VE find cos 2y

*Tuesday, November 27, 2012 by Maddie*

**trig**

How would I solve this problem for t? 720 = 11.895+2.545sin [2pi/366(t-80.5)]

*Sunday, November 25, 2012 by anna*

**trig**

I don't understand what to do after i convert everything into cos and sin. Verify: cosx(tanx+cotx)=cscx

*Sunday, November 25, 2012 by Sally*

**math**

Simplify sin 2 theta over 2 cos theta to a single primary trig function

*Thursday, November 22, 2012 by rose*

**Physics**

he graph of the velocity of a mass attached to a horizontal spring on a horizontal frictionless surface as a function of time is shown below. The numerical value of V is 5.48 m/s, and the numerical value of t0 is 8.97 s. a) What is the amplitude of the motion in m? b) What is ...

*Tuesday, November 20, 2012 by Jalopy*

**trig**

find all the values of X between 0 and 2π such that cos(3x-π/2) = √3/2

*Tuesday, November 20, 2012 by diego sanchez*

**TRIG HELP**

find the exact solutions over the interval tanx = 1 all real x

*Tuesday, November 20, 2012 by Matt*

**math**

(-3/5, 2) is a point on the terminal side of theta, find the value of the six trig functions

*Monday, November 19, 2012 by Amina*

**trig**

It is 4.7km from Lighthouse A to Port B. The bearing of the port from the lighthouse is N73E. A ship has sailed due west from the port and its bearing from the lighthouse is N31E. How far has the ship sailed from the port?

*Sunday, November 18, 2012 by Ashley*

**Trig**

Suppose you would like to cross a 200-foot wide river in a boat. Assume that the boat can travel 35 mph relative to the water and that the current is flowing west at the rate of 5 mph. What bearing should be chosen so that the boat will land at a point exactly across from its ...

*Sunday, November 18, 2012 by Adam*

**Trig**

Suppose you would like to cross a 209-foot wide river in a boat. Assume that the boat can travel 32 mph relative to the water and that the current is flowing west at the rate of 6 mph. If the bearing chosen is chosen so that the boat will land at a point exactly across from ...

*Sunday, November 18, 2012 by Adam*

**trig**

A ship is headed due north at a constant 20 miles per hour. Because of the ocean current, the true course of the ship is 15°. If the currents are a constant 18 miles per hour, in what direction are the currents running? (Enter your answers as a comma-separated list. Round ...

*Friday, November 16, 2012 by janice*

**trig**

A 52-foot wire running from the top of a tent pole to the ground makes an angle of 57° with the ground. If the length of the tent pole is 44 feet, how far is it from the bottom of the tent pole to the point where the wire is fastened to the ground? (The tent pole is not ...

*Friday, November 16, 2012 by janice*

**trig**

Find all solutions to the following triangle. (Round your answers for angles A, C, A', and C' to the nearest whole number. Round your answers for sides c and c' to two decimal places. If either triangle is not possible, enter NONE in each corresponding answer blank.) B = 113...

*Friday, November 16, 2012 by janice*

**trig**

Find all solutions to the following triangle. (Round your answers for angles A, C, A', and C' to the nearest minute. Round your answers for sides a and a' to two decimal places. If either triangle is not possible, enter NONE in each corresponding answer blank.) B = 65¡ã 50...

*Friday, November 16, 2012 by janice*

**trig**

Find all solutions to the following triangle. (Round your answers for angles A, B, A', and B' to the nearest minute. Round your answers for sides a and a' to the nearest whole number. If either triangle is not possible, enter NONE in each corresponding answer blank.) C = 23...

*Friday, November 16, 2012 by janice*

**trig**

Find all solutions to the following triangle. (Round your answers to one decimal place. If either triangle is not possible, enter NONE in each corresponding answer blank.) A = 115.2¡ã, a = 43.6 cm, b = 23.1 cm First triangle (assume B ¡Ü 90¡ã): B = ¡ã C = ¡ã c = cm ...

*Friday, November 16, 2012 by janice*

**trig**

Given BC = 53 cm, BD = 62 cm, CD = 80 cm, ABC = 53°, and ACB = 66°, find the following. (Round your answers to the nearest whole number.) (a) the length of the chainstay, AC AC = cm (b) BCD BCD = °

*Friday, November 16, 2012 by janice*

**trig**

A barge is pulled by two tugboats. The first tugboat is traveling at a speed of 16 knots with heading 135°, and the second tugboat is traveling at a speed of 15 knots with heading 195°. Find the resulting speed and direction of the barge. (Round your answers to the nearest ...

*Friday, November 16, 2012 by janice*

**trig**

A plane has an airspeed of 190 miles per hour and a heading of 24.0°. The ground speed of the plane is 214 miles per hour, and its true course is in the direction of 40.0°. Find the speed and direction of the air currents, assuming they are constants. (Round your answers to ...

*Friday, November 16, 2012 by janice*

**trig**

A plane is flying with an airspeed of 150 miles per hour and heading 155°. The wind currents are running at 25 miles per hour at 160° clockwise from due north. Use vectors to find the true course and ground speed of the plane.

*Friday, November 16, 2012 by janice*

**trig**

A certain species of tree grows an average of 0.5 cm per week. Write an equation for the sequence that represents the weekly height of this tree in centimeters if the measurements begin when the tree is 200 centimeters tall.

*Thursday, November 15, 2012 by Ping*

**trig**

given that 1/2pi<theta<pi and sin theta=1/5, use appropriate trigonometric formulas to find the exact values of the following (i) cos(2theta) (ii) cos theta (iii) sin(2theta)

*Thursday, November 15, 2012 by Sarah*

**Physics**

Calculate the ratio of the kinetic energy to the potential energy of a simple harmonic oscillator when its displacement is 1/8 of its amplitude. (The answer is an integer.) Approach: Choose a specific trigonometric form for the position function x(t). It doesn't matter which ...

*Thursday, November 15, 2012 by Alphonse*

**Difficult Trig Word Problem**

The displacement of a spring vibrating in damped harmonic motion is given by y(t) = 4e^-3t sin(2pi*t) where y = displacement and t = time with t greater than/equal to zero. Find the time(s) when the spring is at its equilibrium position (y=0). The number "e" is Euler's number...

*Wednesday, November 14, 2012 by Greg*

**trig**

Olivia has a pool slide that makes an angle of 25º with the water. The top of the slide stands 4.5 feet above the surface of the water. The slide makes a straight line into the water. How long is the slide?

*Tuesday, November 13, 2012 by Anonymous*

**Trig Identity**

Prove or disprove the following identity sin^4theta - cos^4theta = sin^2theta-cose^2theta

*Tuesday, November 13, 2012 by Jerry*

**trig**

Solve tan2A - 2tanA = -1 for 0º≤A≤360º.

*Monday, November 12, 2012 by trig*

**trig**

cot^2/1 + cot^2 = cos^2

*Monday, November 12, 2012 by TRIG HELP*

**TRIG**

Sinxtanx = sec x

*Monday, November 12, 2012 by TRIG HELP*

**TRIG**

(cotx + cscx(1-cosx)= SIN x

*Monday, November 12, 2012 by TRIG HELP*

**TRIG**

Verify cos x/1+sinx + 1+ sinx/cosx = 2sec

*Monday, November 12, 2012 by TRIG HELP*

**TRIG**

Find one numerical value for cot x/cos x = 5

*Monday, November 12, 2012 by TRIG HELP*

**trig**

(1 + sinx)(secx - tanx) = cos x

*Sunday, November 11, 2012 by mary*

**trig**

tan^2x/1 + tan^2x = sin ^2 x

*Sunday, November 11, 2012 by mary*

**trig**

cos^2 A/ 1+sin A

*Sunday, November 11, 2012 by mary*

**precalc/Trig**

Assume we know the following: cos(22.5 degrees)= sqrt(2+sqrt2)/2 sin(22.5 degrees)=sqrt(2-sqrt2)/2 cos(18 degrees)=sqrt((sqrt5+5)/8) sin(18 degrees)=(sqrt5-1)/4 What is: Sin(82.5 degrees) cos(82.5 degrees) sin(12 degrees) cos(12 degrees)

*Saturday, November 10, 2012 by Anonymous*

**Precalc/Trig**

evaluate the expression assuming that cos(x)=1/7, sin(y)=1/3, sin(u)=2/5 and cos(v)=1/3. what is cos(u+v)? sin(x-y)? and tan(u-v)?

*Saturday, November 10, 2012 by Liz*

**trig**

the pendulum of a grandfather clock is 1.3m long. Determine the length of the arc through which the pendulum moves if it moves through an angle of 15

*Thursday, November 8, 2012 by aj*

**Trig**

Give: a=alpha B=beta csc a= 2 pi/2<a<pi secB=-3 pi/2<B<pi 1)find sin(a+B) 2)find tan(a-B) 3)cos B/2 4)sin a/2

*Wednesday, November 7, 2012 by Sierra*

**trig**

How do you find the exact value of sin 5pi/8?

*Wednesday, November 7, 2012 by Sierra*

**TRIG**

show that cos(pi x) = pi cosx is not an identity by finding a single value of x for which it fails to hold.

*Tuesday, November 6, 2012 by Lynn*

**TRIG**

Given that tanx = 1/sqr(15) and secx -4/sqr(15) find the value of sinx

*Tuesday, November 6, 2012 by Lynn*

**trig**

A tree growing on a hillside casts a 121-foot shadow straight down the hill. Find the height of the tree (in feet) if the slope of the hill is 8 degrees and the angle of elevation of the sun from the horizontal is 50degrees.

*Monday, November 5, 2012 by joey*

**trig**

find the exact value of sinu/2, given that cosu=-4/5 and pi/2less than u less than pi

*Sunday, November 4, 2012 by monica*

**trig**

2 cos(theta-13)= square root of 3

*Friday, November 2, 2012 by john*

**TRIG**

Triangle FGH has vertices F(0, 10), G(10, 0), and HR(1, -1). After rotating triangle FGH counterclockwise about the origin 75º, the coordinates of G' to the nearest hundredth are (2.59, ?).

*Tuesday, October 30, 2012 by karina602*

**TRIG HONORS CH: 5.8**

a ship leaves port with a bearing of S 42deg W after traveling 7 miles, the ship turns 90deg and travels on a bearing of N 52deg W for 10 miles at that time, what is the bearing of the ship to the port?

*Monday, October 29, 2012 by Ashley*

**trig**

a ship leaves port with a bearing of S 42deg W after traveling 7 miles, the ship turns 90deg and travels on a bearing of N 52deg W for 10 miles at that time, what is the bearing of the ship to the port?

*Monday, October 29, 2012 by Selena*

**algebra 2 trig**

8/2+√6

*Monday, October 29, 2012 by Elizabeth*

**trig**

Solve for x please? x/x+3 - 1/x+2 = x/2x+4

*Sunday, October 28, 2012 by Robbie*

**Pre-Cal/Trig**

Explain how to solve the following question. Surveying: From a point A hat is 10 meters above level ground, the angle of elevation of the top of a building is 42 degrees and the angle of depression of the base of the building is 8 degrees. Approximate the height of the building.

*Wednesday, October 24, 2012 by Monica*

**Trig**

From a point 120 feet from the base of a plant building the angle of elevation to the roof line of the building is 38 degrees. The angle of elevation to the top of an antenna is 43 degrees. The antenna is attached to the nearest edge of the roof and the ground is flat. The ...

*Wednesday, October 24, 2012 by Dan*

**trig**

Use an addition or subtraction formula to simplify the expression: tan(2−u)=cot(f(u)).

*Tuesday, October 23, 2012 by Anonymous*

**trig**

Show that the height, h, of the A-frame is equal to the expression 5sinc(1+2cosc). Im not sure what to do.

*Monday, October 22, 2012 by mike*

**Precalc/Trig**

Find the smallest positive number t such that e^sin(t)=1/2

*Saturday, October 20, 2012 by Liz*

**Precalc/Trig**

what angle does the line y=6/7x make on the xy plane with a positive x axis?

*Saturday, October 20, 2012 by Liz*

**Precalc/Trig**

what angle does the line y=6/7x make on the xy plane with a positive x axis?

*Saturday, October 20, 2012 by Liz*

**Math (Trig)**

In 1893, the city of Chicago put on a World's Fair to celebrate the 400th anniversary of Columbus' trip to the Americas. The most spectacular at this fair was a huge Ferris Week built by an engineer named George Ferris. This remarkable structure had a diameter of 250 ft, was ...

*Saturday, October 20, 2012 by Ashley*

**Trig**

Sin theta=8/17, theta in Quadrant I, Cos X=-sqrt5/5 in Quadrant II

*Friday, October 19, 2012 by Javier*

**trig**

A 15 FOOT LADDER MAKES 52 DEGREES ANGLE WITH THE GROUND.HOW FAR WILL THE TOP OF THE LADDER BE ABOVE THE GROUND?

*Friday, October 19, 2012 by GLAIZY JEAN*

**Trig**

a person who eyes are 5 feet above the ground observes the top of a building to have an angle of elevation of 40 degree. The person walks 100 feet closer to the building and observes that the top of the building now has an angle of elevation of 65 degree. How high is the ...

*Wednesday, October 17, 2012 by Anonymous*

**Trig**

A baseball diamond is a square with sides 22.4m The pitchers mound is 16.8m from home plate on the line joining home plate and second base. How far is the pitchers mound from first base?

*Tuesday, October 16, 2012 by Nikki*

**trig**

two trains leave Kansas City at the same time. Train A is traveling due north at 55 mph, train B is traveling west at the rate of 65 mph. Find the distance between the two trains two hours later and the bearing of train B from train A.

*Tuesday, October 16, 2012 by Anonymous*

**Math Trig**

Find the values of the six trigonometric functions of an angle in standard position if the point with coordinates (12, 5) lies on its terminal side? Please explain how!

*Tuesday, October 16, 2012 by Laytin*

**Math Trig**

Find the values of the six trigonometric functions of an angle in standard position if the point with coordinates (12, 5) lies on its terminal side? Please explain how!

*Tuesday, October 16, 2012 by Laytin*

**TRIG**

An airplane flying at 550 miles per hour has a bearing of 53°. After flying for 2.5 hours, how far north and how far east will the plane have traveled from its point of departure? I'm having a REALLY hard time with this one. I don't know what I'm doing wrong. Can someone walk...

*Tuesday, October 16, 2012 by Daisy*

**TRIG.**

From a point 50 feet in front of a church, the angles of elevation to the base of the steeple and the top of the steeple are 35° and 47° 20', respectively. Find the height of the steeple. I missed class this day and have no idea how to go about this problem. I'd really ...

*Monday, October 15, 2012 by Daisy*

**Trig**

From an observation tower that overlooks a runway, the angles of depression of point A, on one side of the runway, and point B, on the oppisite side of the runway are 6 degrees and 13 degreess respectivel. The points and the tower are in the same vertical plane and the ...

*Monday, October 15, 2012 by Nikki*

**trig**

A plane is flying 12,000 feet horizontally from a tall, vertical cliff. The angle of elevation from the plane to the top of the cliff is 45degrees, while the angle of depression from the plane to a point on the cliff at elevation 8000 feet is 14degrees. Find the height of the ...

*Monday, October 15, 2012 by Mae*

**Trig**

Let f and g be two invertible functions such that f^-1(x)=5/x+4 and g(x)=4(x-2). Find f(g(5)). Show your steps please so I can see how to do it. Thank you! :)

*Friday, October 12, 2012 by Bailey*

**trig**

A survey team is trying to estimate the height of a mountain above a level plain. From one point on the plain, they observe that the angle of elevation to the top of the mountain is 24. From a point 1000 feet closer to the mountain along the plain, they find that the angle of ...

*Wednesday, October 10, 2012 by Anonymous*

**Precalc/Trig**

Find all values of x, 0<x<(pi/2) for which (1/( root 3))<cotx<(root 3)

*Wednesday, October 10, 2012 by Patrick*

**trig**

what is sin x = 1, what is the value of csx

*Wednesday, October 10, 2012 by jamar*

**trig**

what is 7pi/3 in degree .13pi/3 in degree

*Wednesday, October 10, 2012 by L*

**Trig.**

I'm trouble solving for theta. Any help is appreciated. 0.73377324 = sin(theta)/cos(theta)

*Tuesday, October 9, 2012 by James*

**trig**

Find the domain of each function. f(x)=Sqareroot of 5-x f(x)=x^3/x^2-16

*Tuesday, October 9, 2012 by Natasha*

**trig**

Find the following values for each function a. f(0) b. f(-1) c. f(-x) d. f(x+1) f(x)=2x^2+3x-4 I you plug in the value for each x, I just want to check my answers. Thanks.

*Tuesday, October 9, 2012 by Madison*

**Trig help?**

are these functions periodic? i - y=abs(sin(x)) = sin(x) ii - y=cos(X^2) iii - y = cos(sin(x)) I am completely lost on these :/

*Tuesday, October 9, 2012 by Josh*

**Trig!**

Find the following values for each function. A. f(0) B. f(-1) C. f(-x) D. f(x+1) f(x)=2x^2+3x-4 and f(x)=x^2/x+1

*Tuesday, October 9, 2012 by Ashley*

**math**

I need help with this trig problem cotθ=-√3/3 and 3/2π≤θ≤π, find θ

*Monday, October 8, 2012 by arlene*

**Precalc/Trig Word Problem**

From the top of a 200-ft lighthouse, the angle of depression to a ship in the ocean is 23 degrees. How far is the ship from the base of the lighthouse?

*Monday, October 8, 2012 by Greg*

**Precalculus/Trig 6**

Find the exact value of the following trigonometric functions: sin(13pi), cos(14pi), tan(15pi)

*Monday, October 8, 2012 by Greg*

**Precalculus/Trig 5**

Find the exact value of thet following trigonometric functions: tan(5pi/6) tan(7pi/6) tan(11pi/6)

*Monday, October 8, 2012 by Greg*

**Precalculus/Trig 3**

The degree measure of an angle theta is 40 degrees. What is the radian Measure of theta? at what point P does the terminal ray intersect the unit circle (what is the ordered paid P(____, ___)?

*Monday, October 8, 2012 by Greg*

**trig**

weather balloon is directly west of two observing stations that are 10 mi apart. The angles of elevation of the balloon from the two stations are 17.6 degrees and 78.2 degrees. How high is the balloon?

*Monday, October 8, 2012 by alth*

**Precalc/Trig 2**

The point P lies in the 4th quadrant and is located on a circle of radius 2. Find the missing coordinate for P. (___, (negative square root of 3)).

*Monday, October 8, 2012 by Greg*

**Precalc/Trig 1**

What equation would you use to show that the point ((square root of 11)/(6), (5/6))is on the unit circle?

*Monday, October 8, 2012 by Greg*

**trig**

two intersecting sides are 250ft and 170ft, angle between is 55 degrees. use the 250ft side as the base, what is the height of the triangle

*Monday, October 8, 2012 by Anonymous*

**trig**

tan^2theta+6=sec^2theta+5

*Thursday, October 4, 2012 by Colt*

**TRIG**

find the degree measure of a central angle subtended by an arc of 8.00cm in a circle with circumference 20.0cm

*Tuesday, October 2, 2012 by Mel*