# Trigonometry

**Trig**

The point P(3, 4) is on the terminal side of θ. Evaluate tan θ. 3/4 3/5 4/3 4/5

**Trig**

A 60-foot flagpole stands on top of a building. From a point on the ground the angle of elevation to the top of the pole is 45 degrees and the angle of elevation to the bottom of the pole is 42 degrees. How high is the building?

**early trig**

A monument stands on level ground. The angle of elevation of the top of the monument, taken at a point 425 feet from the foot of the monument, is 32º. Find the height of the monument to the nearest foot.

**Trig**

Using this graph: imgur [dot] com/utSgKI9 Find the measures of angles A and G in the drawing (m is parallel to n) if C=4x-18 and F=2x+34

**Trig**

What re the roots of the following polynomial equation (x+5)(x+2)(x-5)=0

**Trig**

A 12-foot ladder reaches 9 ft 6 in up a wall. How far up would a 20-foot ladder reach when placed at the same angle? Write the answer in feet with inches.

**trig/sig figs**

There are 60" in 1', 60' in 1°, and 2π radians in 360°. Convert arc-seconds into radians. KEep 6 significant figures. If someone could help and walk me through this process, it would be soooo appreciated!

**trig**

Use a table of trigonometric values to find the angle θ in the right triangle in the following problem. Round to the nearest degree, if necessary. cos θ = 0.9659 A = ? H = 20

**Trig!**

a) The annual inflation rate is 3.5% per year. If a movie ticket costs $7.50, find a formula for p, the price of the tickets t years from today, assuming that movie tickets keep up with inflation. b) According to your formula, how much will movie tickets cost in 20 years?

**trig proofs**

cotx+tanx=secx+cscx

**trig**

An aircraft maintains a speed of 500 miles per hour in a southwestern direction. The velocity of the jet stream is constant 50 miles per hour from the west. Find the resultant vector, the speed, and actual direction of the aircraft.

**Proof math problem help? Please help if you can!**

Let AB be the diameter of a circle, and let point P be a point on AB. Let CD be a chord parallel to AB. Prove that PA^2 + PB^2 = PC^2 + PD^2 It can be solved using geometry methods (no trig). Anyway, I figured out that PA^2 +PB^2 = 2OP^2 + 2OB^2. However, I cannot find right ...

**Calculus**

Use a trig identity to combine two functions into one so you can solve for x. (The solution should be valid for any value of t). 3cos(t) + 3*sqrt(3)*sin(t)=6cos(t-x) I know that 6 cos(t-x) can be 6(cos(t)cosx(x)+sin(t)sin(x)) I don't know where to go from there though.

**trig**

Find the maximum and the minimum values of sinx + cosx and the smallest value of x which they have these values

**Trig**

log base b 64 - log base b 16 = log base 4 16 solve for the variable.. i got to the part as far as: (log 4/log b) = 2 now i m stuck at how i can isolate the b. plz help!

**Precalculus/Trig 5**

A radio transmission tower is 120 feet tall. How long should a guy wire be if it is to be attached 15 feet from the top and is to make an angle of 26 degrees with the ground? Give your answer to the nearest tenth of a foot

**Precalculus/Trig 5**

A radio transmission tower is 120 feet tall. How long should a guy wire be if it is to be attached 15 feet from the top and is to make an angle of 26 degrees with the ground? Give your answer to the nearest tenth of a foot

**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

**trig**

Suppose that the point (x,y) is in the indicated quadrant. Decide whether the given is positive or negative. 25.) II, x/r 26.) III, y/r 27.) IV, x/y

**trig**

Solve sin θ = -0.204 for 90º < θ < 270º. Give your answer to the nearest tenth of a degree. Honestly have no idea how to do this.

**Algebra 2/Trig**

I've done every other single question besides this one. (There was 12). I'm stumped and would really appreciate some help! I have to simplify this: 5/3sqrt(3-4) I am not sure if you have to conjugate the denominator and multiply it with the top and bottom, then simplify from ...

**trig**

solve for the value of sine and cosine function of 60 degrees.

**trig**

solve for the value of sine and cosine function of 60 degrees.

**trig**

use pythagorean theorem to solve for the value of x and y of a 60-60-60 degrees.

**trig**

how to solve for the value of sine and cosine function of 0,90,180 and 270 degrees?

**trig**

how to graph thr trig function f(x)3x-180)+2 and the parent function?

**Math (Trig)**

Find the indicated ratios in the triangle. Right triangle with a height of 2.56cm length of 4.65cm and hypotenuse of 5.31cm a. tan A b. cos C c. sin C How do I figure this out?

**trig**

the mini tent of the clock is 5 cm long.how far is the tip of THE HAND TRAVEL IN 35 MINS.

**Math Trig**

I have to find the x (bottom length of the triangle) in a right triangle. angle A is 33.9 degrees angle B is 90 degrees and the height of the triangle is 3.3cm What formula do I use to figure out this question?

**Trig..please help!**

Two forces are pushing an ice shanty along the Ice. One has a magnitude of 330 lb in a direction due east. The other force has a magnitude of 110 lb in a direction 54 degrees east of north. What are the magnitude and direction of the resulant force?

**Trig**

Find the other five trigonometric ratios of theta. cos theta=7/20 cos theta=1/5

**trig**

Find the Opposite of the right angle where the angle is 61 degrees and the Adjacent is 10 cm.?

**trig**

2sinxcosx+4sin^2xcos^2x=0 solve for x in radians between [0,2pi) (I mean that it is sine squared x and cosine squared x not sine to the power of 2x or cosine to the power of 2x)

**Math-trig**

A stairway runs up the edge of the pyramid. From bottom to top the stairway is 92 m long. The stairway makes an angle of 70° to the base edge, as shown. A line from the middle of one of the base edges to the top of the pyramid makes an angle of elevation of 52° with respect ...

**trig**

simplify (1-sec^2(è)/(tan^2(è)

**trig/precalc**

An airplane with a ground speed of 750 mph and a bearing of N 40 E encounters a wind of 50 mph with a bearing of S 30 E. Find the bearing and ground speed of the plane.

**college trig word problem**

A Ferris wheel has a radius of 25 feet.The wheel is rotating at two revolutions per minute.Find the linear speed, in feet per minute, of a seat on this ferris wheel.

**trig**

if tan x= 4/3 and pip < x < 3pi/2, and cot y= -5/12 with 3pi/2 < y < 2pi find sin(x-y)

**trig**

evaluate the following in exact form, where the angeles alpha and beta satisfy the conditions: sin alpha=4/5 for pi/2 < alpha < pi tan beta=7/24 for pie < beta < 3pi/2 answer choices A. sin(beta+alpha) B. tan(beta-alpha) C. cos(alpha-beta)

**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