# Trigonometry

**Trig**

Verify that each trigometric equation is an identity. 1/1-sinx + 1/1+sinx = 2 sec^2x

**Math: Solving Trig Equation**

9tan (x) - 9 sec^2 (x)/ tan (x)

**Trig**

Simplify (sin^2)*(67.5deg) - (cos^2)*(67.5deg) and then evaluate exactly.

**Trig**

Use a half-angle identity to find the exact value for sec(x/2) if sinx = -12/13 ; 3pi/2 < x < 2pi

**Trig**

How do I use the unit circle to evaluate tan(-3pi/4)

**trig**

Find the first two terms a_1 =5 and an=3a _n-1+2

**Trig**

prove that tanA divided by the sinA equals the secA

**trig**

Sandra wants to find the height of a moutain. From her first location on the ground, she finds the angle of elevation to the top of the mountain to be 35 degrees 15 minutes. After moving 1000 meters closer to the moutain on level ground, she finds the elevation to be 50 ...

**Trig**

If 180<A<270 and sinA= -radical(5)/3, find tan(1/2)A.

**trig**

I keep trying to find the power reducing formula for sin^4(x), but I can't seem to get all the fractional parts correct. The answer I should be getting is: sin^4(x)=(1/8)cos4x-(1/2)cos2x+(3/8) I can only get this far knowing feeling confident. When I go further I start making ...

**Math**

What is the inverse trig function cotangent of square root of 3/3? What is the value?

**Trig**

True or False: For a trignometric function, y = f(x), then x = f^-1(y). Explain your answer. Thanks.

**Trig**

True or False: For a one-to-one function, y = f(x),then x = F^-1(y). Explain your answer. Please help.

**Trig**

What is the exact value of tan(s+t) if sin(s+t)=56/65. And cos(s)=5/13 and sin(t)=4/5. Everything is in the first quadrant

**Trig**

A pulley with a diameter of 24 inches is driven by a belt which is moving 1045 ft/min. How many revolutions per minute are made by the pulley?

**Trig**

How do I find the exact value of sin (pi/24)?I am crying

**trig**

How do I find the exact value of sin (pi/24)?

**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!

**trig**

A pole is braced with a wire from the top of a pole to the ground. The wire is 100 feet long and makes an angle of 40° with the ground. Find the height of the pole.

**trig**

A road runs from the base of a mountain. From two points 235 meters apart on the road, the angles of elevation to the top of the mountain are 43 and 30. how high above the road is the mountaintop?

**trig**

A road runs from the base of a mountain. From two points 235 meters apart on the road, the angles of elevation to the top of the mountain are 43 and 30. how high above the road is the mountaintop?

**trig**

A road runs from the base of a mountain. From two points 235 meters apart on the road, the angles of elevation to the top of the mountain are 43 and 30. how high above the road is the mountaintop?

**trig**

cos è = 0.9659 A = ? H = 20

**Trig**

a. Form a pair of simultaneous equations by letting y1 equal the left side and y2 equal the right side of sqrt 5-x=1. b.Repeat part (a) with the equivalent equation sqrt 5=x+1 c. Repeat part (a) with the equivalent equation sqrt 5-x-1=0

**Trig**

Whats the height of a flagpole if a student stand 37feet from it and determines the angle of elevation to be 34degrees and her eyes are 5.3 feet from the ground(round to the nearest whole number)

**Trig**

the number of solutions of sin x= -sqrt3/2 for x between 0 and 2pi

**Trig**

the height of a flagpole if a student stands 37 feet from it and determines the angle of elevation to be 34 degrees and her eyes are 5.3 feet from the ground.

**trig**

The radian measure of an angle of 182 degrees is ?

**trig**

use an angel sum identity to verify cos2theta = -2cos^@-1

**Trig**

help please!: (sinx + sin2x +sin3x) / (cosx + cos2x + cos3x) = tan2x

**trig**

cos(2x+4h)-cos(2x+2h)=?

**trig**

cos(2x+4h)-cos(2x+2h)=?

**trig**

cos(2x+4h)-cos(2x+2h)

**Trig**

A plane if flying at 200 mph with a heading of 45 degrees and encounters a wind of 100 mph from the west. What is the resulting velocity and heading?

**trig**

10sinB+5 = sinB+5

**trig**

If sin theta is equal to 5/13 and theta is an angle in quadrant II find the value of cos theta, sec theta, tan theta, csc theta, cot theta.

**trig**

solve tan2x = -28/45 Thank you

**trig**

A population of wolves in a country is represented by the equation p(t)=80(0.98)^t, where t is the number of years since 1998. Predict the number of wolves in the population in the year 2008. how many years will it take for the population of wolves to reach 500?

**Trig**

Four wires support a 40-meter radio tower. Two wires are attached to the top and two are attached to the center of the tower. The wires are anchored to the ground 30-meters from the base of the tower. What is the total length of wire needed?

**trig**

Four wires support a 40-meter radio tower. Two wires are attached to the top and two wires are attached to the center of the tower. The wires are anchored to the ground 30-meters from the base of the tower.

**trig**

sec0+ten0-1/tan0+sec0+1=1+sin0/cos0

**Trig identities:(**

Sin4A - cos4A = sin2A - cos2A Can i just square root the left side??:O

**trig**

(sec^2x-1)(csc^2x-1)=1 prove the following identity ive been stuck on this for hours please help

**trig sub question**

Hello, I have a question concerning trigonometric substitution. let's say we have integral of dx/sqrt(9x^2 + 4), so after doing a few steps we have: 2/3 integral of sec0/sqrt((2tan0)^2 + 4*) d0 (the * is for later on) the next step turns into: 2/3 integral of sec0/(sqrt(4tan^2...

**trig**

What is the length of side c to the nearest whole number if side a 105 and angle A 65 degrees and angle B 37 degrees?

**trig**

If cot x = .78, what is tan x?

**trig**

Express sin4xcos3x as a sum or differences of sines and cosines

**Trig**

A pendulum swings through an angle of 22 degrees each second. If the pendulum is 30 inches long, how far does its tip move each second?

**Trig**

Is the angle 11pi/12 on the unit circle the same as the angle -pi/12? I'm thinking it would be, but I'm not sure.

**trig**

An object Is propelled upward at an angle θ, 45° < θ<90°, to the horizontal with an initial velocity of (Vo) feet per second from the base of a plane that makes an angle of 45° with the horizontal. If air resistance is ignored, the distance R it travels up ...

**trig**

To determine the distance to an oil platform in the Pacific Ocean, from both ends of a beach, a surveyor measures the angle to the platform from each end of the beach. The angle made with the shoreline from one end of the beach is 83 degrees, from the other end 78.6 degrees. ...

**trig.**

8x^3+4x^2-4x solution sets

**Trig**

Verify the identity. cos 4x + cos 2x = 2 - 2 sin^2(2x) - 2 sin^2 x

**Trig**

Three circles with radii of 4, 5, and 6 cm, respectively, are tangent to each other externally. Find the angles of the triangle whose vertexes are the centers of the circles.

**trig**

cos^(2) 20 degrees + sin^(2) 20 degrees +pi/2

**Trig**

The diagonals of a parallelogram intersect at a 42◦ angle and have lengths of 12 and 7 cm. Find the lengths of the sides of the parallelogram. (Hint: The diagonals bisect each other.)

**Trig Identities**

Proving identities: 1) 1+ 1/tan^2x = 1/sin^2x 2) 2sin^2 x-1 = sin^2x - cos^2x 3) 1/cosx - cosx = sin x tan x 4) sin x + tan x =tan x (1+cos x) 5) 1/1-sin^2x= 1+tan^2 x How in the world do I prove this...please help... I appreciateyour time thankyou soo much!!

**trig**

a lighthouse is located at point A. a ship travels from point B to point C. At point B,, the distance between the ship and the lighthouse is 7.5km. At point C the distance between the ship and the lighthouse is 8.6km. Angle BAC is 58 degrees. Determine the distance between B ...

**Trig**

A Ferris wheel is 40 meters in diameter and boarded from a platform that is 4 meters above the ground. The six o'clock position on the Ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 2 minutes. How many minutes of the ride are spent ...

**MATHS**

Find the lengths of the missing sides in the triangle. Write your answers as integers or as decimals rounded to the nearest tenth. The diagram is not drawn to scale. triangle has sides 7, Y and X and 45 degree angle can someone show me how to do this? im supposed to use trig ...

**trig**

Given the function y = 3cos(3x + pi), identify: Amplitude (if applicable, give the answer in fractional form) Period (in radians as a multiple of pi - note: do not write "rad" or "radians" in your answer) Phase Shift (if the shift is right, enter + and if to the left, enter...

**Trig/precalc**

Cos[x + (7 Pi)/4] + Cos[x - (7 Pi)/4] = 1

**trig**

ABC- with angles AB, and C and sides AB,BC, and AC, angle B is right 90degree angle, if sin of angle A is 0.5, side BC 8in., what is length of AC

**trig**

As a hot-air balloon rises vertically, its angle of elevation from a point P on level ground d = 140 kilometers from the point Q directly underneath the balloon changes from 15°10' to 29°30' (see the figure). Approximately how far does the balloon rise during this period? (...

**maths (trig)**

how would you work out tan 50=27/x please help

**trig**

what is the exact value of this equation. cos(20) if it equals pi/4

**trig**

Two people decide to estimate the height of a flagpole. One person positions himself due north of the pole and the other person stands due east of the pole. If the two people are the same distance from the pole and a = 30 feet from each other, find the height of the pole if ...

**math-trig**

tan(t)-sec^2(t)/tan(t)

**trig**

a tower that is a 200 meters is leaning to one side. from a certain point on that side, the angle of elevation to the top of the tower is 70 degree. From a point 55 meters closer to the tower, the angle of elevation is 85 degree. Determine the acute angle from the horizontal ...

**trig**

1/tan beta +tan beta=sec^2 beta/tan beta

**trig Elev. & Depress part ii**

You are 55ft from a tree. The angle of elevation from your eyes, which are 4.5 ft off the ground,to the top of the tree is 61 degrees. To the nearest foot, how tall is the tree?

**trig**

A mountain road makes an angle θ = 8.4° with the horizontal direction. If the road has a total length of 3.4 km, how much does it climb? That is, find h.

**trig**

cos(+pi/2-theta)/csctheta+cos^2theta

**trig**

To the nearest degree, all of the following angles are solutions of the equation 2sin x + 4 cos 2x =3 except: (1) 40 degrees (2) 150 degrees (3) 166 degrees (4) 194 degrees

**Trigonometry**

What is -6i in standard form? It is originally in trig form.

**math (trig.)**

A ferris wheel is 35 meters in diameter and boarded at ground level. The wheel makes one full rotation every 8 minutes, and at time (t=0) you are at the 3 o'clock position and descending. Let f(t) denote your height (in meters) above ground at t minutes. Find a formula for f(t).

**Trig**

How do I prove that tan(x/2) =( plus/minus) sqrt(1-cos(x/1+cos(x))

**trig**

Give that tan tetha is equal to 3/4 find the values of cos tetha,cos tetha-sin theta,sin tetha.

**Trig**

(csc(B)+cot (B))(csc(B)-cot(B))

**Trig**

True or false? tan x = tan(x-6pi)

**Trigonometry**

Thank you STEVE!!!!! Suppose that Cos (theta) = 1/square root 2 if 0<equal to theta , pi/2 then sin(theta) = tan (theta) = If 3pi/2 less than equal to theta , 2pi then sin(theta) = tan (theta) = I know the trig functions but I feel like I am missing something here. cos (...

**trig**

y=2cot2x

**trig**

A wheelchair ramp has an angle of inclination of 10 degrees and rises to a height of 3ft. Determine the length of the ramp in feet.

**Trig**

Height of an Obelisk Two people decide to find the height of an obelisk. They position themselves 25 feet apart in line with, and on the same side of, the obelisk. If they find that the angles of elevation from the ground where they are standing to the top of the obelisk are ...

**alg/trig**

9/x + 9/x-2= 12

**algebra 2 trig HELP TEST TOMMAR**

sam and nikki lie 206 km apart. at 8:00 am. sam started driving to nikki's house at 60km/hr. at 10:00 am nikki started driving to sam's house at 82 km/hr. at what time will they be 15 km apart?

**Trig**

Find the point on the terminal side of θ = three pi divided by four that has a y coordinate of 1. Show your work for full credit.

**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.