# Trigonometry

**Trig**

A carousel with a 50-foot diameter makes 4 revolutions per minute. a) Find the angular speed of the carousel in radians per minute. b) Find the linear speed in feet per minute of the platform rim of the carousel.

**Trig.**

Josh kicks a soccer ball with an initial velocity of 18 feet per second out of a window from a height of 12 feet. The function h(t)= -16t^2+18t+12 represents the height of the soccer ball after t seconds.What is the domain of this function in the context of this problem?

**Trig**

Why does 11.4(7pi/18)=133pi/30 ?

**Trig**

Solve the equation 2sin(2x) = cos x. and Solve the equation cos^2(2x)–sin^2(2x)= (√3 / 2).

**Trig**

Use the half-angle formulas to come up with an exact expression for each function value below. You do not have to simplify your answers. cos(pi/16)

**Trig Circular Motion**

A es004-1.jpginch circular saw blade rotates at 5200 revolutions per minute. a) Find the angular speed of the saw blade in radians per minute. b) Find the linear speed in feet per minute of one of the 24 cutting teeth as they contact the wood being cut.

**Trig**

A ferris wheel at the fair has a radius of 60 feet. If it takes 24 seconds to make a full revolution, what is the linear speed for the passengers?

**trig**

2sin^2x-1=0[0,2pi)

**Geom./Trig.**

an airplane flies directly overhead at 540mph. 1 minute later is seen at an angle of elevation of 34 degrees. how far did the airplane fly during that time? what is the elevation of the plane?

**TRIG**

IF Y=5+7C0S 4(0-7). FIND YWHEN 0=42 DEGREES. SMALLEST POSITIVE VALUE OF 0 FOR WHICH Y=1.5

**trig**

Two tracking stations are on the equator 134 miles apart. A weather balloon is located on a bearing of N 38°E from the western station and on a bearing of N 19°E from the eastern station. How far is the balloon from the western station? Round to the nearest mile.

**trig**

Find the other endpoint of the line segment with the given endpoint and mid point. 1. Endpoint:(-1, 9), midpoint: (-9, -10) 2. Endpoint: (2, 5), midpoint: (5, 1) 3. Endpoint:(9, -10), midpoint: (4, 8)

**trig**

prove: cot^2(x)=cos(x)/(sinx)(tanx)

**algebra-trig help asap**

An isosceles triangle has a base 22 cm long and a base angle of 72 degrees. Find its perimeter.

**trig**

prove: (tan x + sec x)^2 = 2sec^2 x + 2tan x sec x - 1

**trig**

prove: (tan x + sec x)^2 = 2sec^2 x + 2tan x sec x - 1

**trig**

How do I prove : 4sinAcosAcos2Asin15 all over. :sin2A(tan225-2sinsquared A)is equal to. :root 6 - root 2 over 2

**trig**

Prove: sin(x–y)sin(x+y)=sin^2(x)–sin^2(y)

**calculus**

need help simplifying some trig identities such as: (csc t) (sin t) cos t = 0.75 and tan t = 0.88, find sec t and cot t; (cot2t) (sin2t) + sin2 t; csc2t - cot2t/sin2t

**trig**

Prove: (tan x+sec x)^2 = 2sec^2(x)+2tan(x)secx-1

**trig**

Prove (cscx+cotx)(cscx-cotx)=1

**Trig**

Prove: (cotx sinx)(secx-cosx)=sin^2(X)

**trig**

What is cosx=1/2?

**Trig**

As you ride a ferris wheel, your distance from the ground varies sinusoidally with time. When the last passenger boards the ferris wheel and the ride starts moving, let your position be modeled by the diagram provided. Let t be the number of seconds that have elapsed since ...

**trig**

Solve for theta, giving a general formula for all of the solution: tan(theta)=-1 sin(theta/2)=1/2

**Trig**

4sin^(2)x-3=0

**Trig**

cos(3x)=-1

**Trig**

Solve Sinx=Cos2x-1 for all values between 0 and 2pi

**trig**

Determine the least positive value of t for which d=0. d=cos((3pi/4)(t)) 0=cos((3pi/4)(t)) I got stuck on this step Please help

**trig**

Determine the least positive value of t for which d=0. d=cos((3pi/4)(t)) 0=cos((3pi/4)(t)) I got stuck on this step Please help

**trig**

If theta is a standard position angle and cot theta = 1.85, in which quadrant(s) could theta lie?

**trig**

if tan(θ)=√(33) / 4 (√ does not ride over 4) find sin(θ)<0 i would just like to know the steps of how to do it.

**trig**

What would be the force required to push a 100-pound object along a ramp that is inclined 10 degrees with the horizontal?

**trig**

if sin theta equals 3/7, what is tan theta?

**trig**

howard and keight who are 2km apart are on a horizontal plane observe a balloon in the same vertical plane with themselves the angles of elevation are 50 degrees and 65 degrees respectively find the height of the balloon. A.if its situated between howard and keight B.If it is ...

**trig**

verify that 2/1+cos theta - tan squared (theta/2) = 1

**trig e-maths**

giving that cosx=4/5 and siny=12/13, find cos(x+y) when x is acute and y is obtuse angle

**trig**

a plane takes off at 10.00am from an airfield, and flies at 120km/h on a bearing of N35W. A second plane takes off at 10.05am from the same airfield, and flies on a bearing of S80E at a speed of 90km/h. How far apart are the planes at 10.25am?

**trig**

Find the general solution for x if cos2x + sin3x = sinx

**inverse trig HELP PLEASE!!**

Write the general solution to y = arcsin (0.6428). 40°±360°k 140°±360°k 220°±360°k 320°±360°k How do I find the right answer? I am like seriously stuck. I need help please.

**trig**

In a computer simulation, a satellite orbits around Earth at a distance from the Earth's surface of 2.1 X 104 miles. The orbit is circular, and one revolution around Earth takes 10.5 days. Assuming the radius of the Earth is 3960 miles, find the linear speed (velocity) of the ...

**trig**

solve for theta 6. tan theta=-1 7. sin(theta/2)=1/2 thank you for your help!

**trig**

when sin theta+cos theta=square root of 2,find the solution of sin^3 theta+cos^3 theta

**Algebra-Trig help asap**

A rhombus has sides of 5 cm each and one diagonal is 6 cm long. Find the area of the rhombus.

**Math:Trig.!!!!**

You (safely) bungee jump from a 200-feet tall bridge in your town. Your distance above the water's surface depends on the time since you jumped. Sketch a reasonable graph.

**trig**

solve the equation 2 tan C-3=3 tan X-4 algebraically for all values of C in the interval odegrees lessthan or equal C lessthan360 degrees.

**Trig-Algebra help asap**

A regular octagon is inscribed in a circle with a radius of 5 cm. Find the area of the octagon.

**Trig-Algebra help asap**

A regular pentagon is inscribed in a circle whose radius measures 7 cm. Find the area of the pentagon.

**Trig-Algebra help asap**

A rhombus has sides of 5 cm and one diagonal is 6 cm long. Find the area of the rhombus.

**Trig-Algebra help asap**

The adjacent sides of a parallelogram measure 8 cm and 12 cm and one angle measures 60 degrees. Find the area of the parellelogram.

**trig**

SOlve over (2,pie) and find the general solution in radians. 2sin3x = square root of 2

**trig**

5sin(2x)+4cos(x)=0

**trig**

5sin(2x)+4cos(x)+0

**trig**

cos x/1+sin x + 1+sin x/ cos x= 2sec x

**trig**

verify the identity algebraically- (5-5 cos x)(5+5 cos x)=25 (sin^x)

**Trig Help**

Prove the following: [1+sinx]/[1+cscx]=tanx/secx =[1+sinx]/[1+1/sinx] =[1+sinx]/[(sinx+1)/sinx] =[1+sinx]*[sinx/(sinx+1)] =[sinx+sin^2x]/[sinx+1] =[sinx+(1-cos^2x)]/[sinx+1] =??? This is where I'm stuck. Can someone help me. Please check what I got is right so far it's ...

**trig**

City A is 300km due east of city B. City C is 200km on a bearing of 123¤ from city B. How far is it from C to A?

**trig**

City A is 300km due east of city B. City C is 200km on a bearing of 123¤ from city B. How far is it from C to A?

**trig**

City A is 300km due east of city B. City C is 200km on a bearing of 123¤ from city B. How far is it from C to A?

**trig**

If sec theta = radical 5, what is the exact value of cos theta

**trig**

If sec theta = radical 5, what is the exact value of cos theta

**trig**

A ship sails 40 miles SOUTH and 15 miles EAST. Find the bearing from where it began? HELP.

**trig or geom**

i have to use pythagorean theorem to find the leg-measure of x. in the formula, x would be a^2. the hypotenuse is 11 and "b" is unknown. there is also a cosine with a measure of .4 at the top-most angle.. what is x? i don't know how to use cosine with the problem

**Trig.**

finnd a possible measure of the angle drawn in standard position that passes through the points (ã2,-ã2)

**calculus**

find max, min and saddle points of the give function f(x,y)=sin(x)+sin(y)+sin(x+y) 0<=x<=pi/4 0<=y<=pi/4 i have that dz/dx=cos(x)+cos(x+y) dz/dy=cos(y)+cos(x+y) and i set them equal to zero but im kinda confused on how to really solve that. i mean i got an answer ...

**Geometry/trig**

A ladder, 17 feet long, leans against a wall at a 49 degree angle to the ground. How far up the wall does the ladder reach?

**trig**

Find all angles in degrees that satisfy the equationtan∝ +√3=0

**Trig**

If CSC X = 4 in the quadrant 1, what is COS X?

**Alg 2 trig**

Write a sine equation for period= pie, amplitude=1/2, vertical shift up 1 and phase shift left pie/4. How would the equation be written?

**trig**

what is the exact value of cos(x+y) if tan=x sqare root 3 over 3 and sin y=square root 2 over 2?

**Trig**

How do you do this? 1-sin^2x/csc^2 x-1

**Trig**

HELP!!!! I don't know how to do the trig identity with this problem csc^4 x-cot^4x= Csx^2 x + cot^2x

**trig**

Simplify the expression cos^2 x (sec^2 x-1)

**Trig Proofs!**

I'm having trouble solving this proof. Can you help? cos^3+sin^3/cosx+sinx = 1-sinxcosx Thanks!:)

**trig**

solve each equation for è, giving a general formula for all of the solutions: 6. tanè=-1 7. sin(è/2)=1/2 Please show step by step on how to solve these. Im not sure on how to do them. Thank you for your help!

**trig.**

A ladder 20 feet long leans against the side of a house. Find the height from the top of the ladder to the ground if the angle if the angle of elevation of the ladder is 80°

**trig.**

A ladder 20 feet long leans against the side of a house. Find the height from the top of the ladder to the ground if the angle if the angle of elevation of the ladder is 80°

**trig**

if sin a=4/5 and is quadrant 2 and sin b= 8/17 and is in quadrant 1, find cos (a-b)

**trig**

16. Let W(ƒá ) be a point in Quadrant I on the unit circle with center O. W(ƒá )B is perpendicular to the x-axis at B, OB = 0.6. and W(ƒá )B ƒ 0.8. Find:

**Pre-Cal**

given the function y=2sin3x-1, identify the following below. also show its graph for the primary cycle. (identifying parts of a trig. equation) asymptotes= k= c= axis= primary cycle= period=

**ALG/TRIG**

I cannot seem to get the right answer. Animal Pulse Rate According to one model, an animal’s heart rate varies according to its weight. The formula N(w)=885w^-1/2 gives an estimate for the average number N of beats per minute for an animal that weighs w pounds. Use the ...

**ALG/TRIG**

Lost is an understatement..please help me understand this. Orbits and Distance Johannes Kepler (1571–1630)discovered a relationship between a planet’s distance D from the sun and the time T it takes to orbit the sun. This formula is , where T is in Earth years and ...

**Trig**

Please help. I can't get this problem at all. When two bubbles cling together in midair their common surface is part of a sphere whose center D lies on the line passing through the centers of the bubble. Also, angles ACB and ACD are 60 degrees. Show that the radius r of the ...

**Trig**

Prove sin(α+β)sin(α-β)=cos^2β-cos^2α

**Trig**

A ship leaves port with a bearing of S 40 W. After traveling 7 miles, the ship turns 90 degrees on a bearing of N 50 W for 11 miles. At that time, what is the bearing of the ship from port?

**Trig**

Prove cos^2t+4cost+4/cost+2=2sect+1/sect

**Trig**

Prove (3cosθ-4sinθ)^2+(4cosθ+3sinθ)^2=25

**Trig**

Prove sin(α+β)sin(α-β)=cos^2β-cos^2α

**Trig**

A ship leaves port with a bearing of S 40 W. After traveling 7 miles, the ship turns 90 degrees on a bearing of N 50 W for 11 miles. At that time, what is the bearing of the ship from port?

**Trig**

Prove cos^2t+4cost+4/cost+2=2sect+1/sect

**trig**

Q1: Prove cos^2t+4cost+4/cost+2=2sect+1/sect Q2: A ship leaves port with a bearing of S 40 W. After traveling 7 miles, the ship turns 90 degrees on a bearing of N 50 W for 11 miles. At that time, what is the bearing of the ship from port?

**Trig**

Prove cos^2t+4cost+4/cost+2=2sect+1/sect

**Trig**

A ship leaves port with a bearing of S 40 W. After traveling 7 miles, the ship turns 90 degrees on a bearing of N 50 W for 11 miles. At that time, what is the bearing of the ship from port?

**Trig**

prove sin(α+β)sin(α-β)=cos^2β-cos^2α

**geom/trig**

A 40 ft ladder leans against a wall so the base of the ladder is 11 feet away from the base of the wall . What angle does the ladder make with the wall?

**Trig**

A ship leaves port with a bearing of S 40 W. After traveling 7 miles, the ship turns 90 degrees on a bearing of N 50 W for 11 miles. At that time, what is the bearing of the ship from port?

**Trig**

prove sin(α+β)sin(α-β)=cos^2β-cos^2α please help... this is the only one I didn't understand out of all my homework...

**Trig**

prove sin(α+β)sin(α-β)=cos^2β-cos^2α

**trig**

if sin 7x = cos x+10 find the value of x

**trig**

find the general solutions to the equations: 1) sec x = -2 2) 2 sin^2 x = 1 3) cos^2 x - 2cos x + 1 = 0