# Homework Help: Math: Trigonometry

## Recent Homework Questions About Trigonometry

**Trig**

15^(-x-3)=-17^(-3x) using a log base 10

**precalc h**

sin(theta)/1-cos(theta) + 1-cos(theta)/sin(theta) = 2csc(theta) That question makes absolutely no sense.. could someone help me? or lead me in the direction to figuring it out? and.. (Beside the trig functions is theta) 1+1/cos = tan^2/sec-1

**trig**

An airplane flies with a speed of 425 mph and a heading of 63°. If the heading of the wind is 24°and the speed of the wind is 31 mph, what is the heading of the plane and the ground speed? I've done a couple questions like this but still a little fuzzy on setting it up, any ...

**Trig**

cos x cot = csc - sin

**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...

**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

**Trig**

The height of a rider on a Ferris wheel is given by h(t)=12-10c0s(2pi)(t) meters, where t gives time, in minutes of the ride. a. Find the amplitude, midline, and period of the function h. b. During the first two minutes of the ride, find the times when the rider has a height ...

**Trig**

A population of animals oscillates annually from a low of 1300 on January 1st to a high of 2200 on July 1st, and back to a low of 1300 on the following January. Assume that the population is well-approximated by a sine or a cosine function. a. Find a formula for the population...

**trig**

A 600,000-cell bacteria culture is needed for a lab experiment, but you only could purchase 1,000 cells. If the cells double each day, exactly how long will it be before the experiment can be run? Create a model for the bacteria. If the experiment is in seven days, how many ...

**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 ...

**precalc/trig**

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

**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 ...

**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 ...

**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

**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° ...

**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.

**trig**

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

**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

**trig**

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

**trig**

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

**trig**

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

**math**

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

**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 ...

**trig**

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

**TRIG HELP**

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

**math**

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

**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?

**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 ...

**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 ...

**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 ...

**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 ...

**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...

**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...

**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...

**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 ...

**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 = °

**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 ...

**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 ...

**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.

**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.

**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)

**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 ...

**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...

**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?

**Trig Identity**

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

**trig**

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

**trig**

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

**TRIG**

Sinxtanx = sec x

**TRIG**

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

**TRIG**

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

**TRIG**

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

**trig**

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

**trig**

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

**trig**

cos^2 A/ 1+sin A

**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)

**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)?

**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

**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

**trig**

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

**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.

**TRIG**

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

**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.

**trig**

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

**trig**

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

**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, ?).

**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?

**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?

**algebra 2 trig**

8/2+√6

**trig**

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

**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.

**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 ...

**trig**

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

**trig**

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

**Precalc/Trig**

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

**Precalc/Trig**

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

**Precalc/Trig**

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

**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 ...

**Trig**

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

**trig**

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

**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 ...

**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?

**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.

**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!

**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!

**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...

**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 ...

**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 ...

**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 ...

**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! :)

**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 ...

**Precalc/Trig**

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

**trig**

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

**trig**

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

**Trig.**

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

**trig**

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

**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.

**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 :/

**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

**math**

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

**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?