# Trigonometry

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

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?

Precalculus/Trig 6
Find the exact value of the following trigonometric functions: sin(13pi), cos(14pi), tan(15pi)

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

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(____, ___)?

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?

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)).

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?

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

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

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

trig
a plane flying 33,000 ft is 130 miles from the airport when it begins to descend if the angle of descent is constant find this angle

Math, Trig
The high level bridge, a railway bridge that crosses the Oldman River is over 1km long. From one point on the river, the angle of elevation of the top of the bridge is 62.6 degrees. From a point 20m closer to the bridge, the angle of elevation of the top of the bridge is 72.8 ...

trig
i have to draw a flat unit circle all the way to 4 pi in radians. i can get to 2 pi but i have trouble finding the radians if i went one more time around the unit circle.

Math/Trig
An airplane leaves an airport and flies due west 150 miles and then 170 miles in the direction 210°50'. Assuming the Earth is flat, how far is the plane from the airport at this time (to the nearest mile)

Precalc/Trig
wave is modeled by the function ... h(t) = 3cos(p/10)*t What is the period of the wave (T) *frequency (F) is defined as the number of cycles of the motion per second. What is the relationship between F and T? Find the wave height (H) which is the vertical distance between the ...

Trig
A ladder is resting against a wall. The ladder and the ground and angle of 40 degrees and the ladder is 4 ft. from the wall. How long is the ladder?

Trig
A sprinkler on a golf green is set to spray water over a distance of 20 meters and to rotate through an angle of 160°. Find the area of the region that can be irrigated with the sprinkler. (Round your answer to two decimal places.) I really have no idea how to go about this ...

Trig
Two ships leave the same port at 7.am. The first ship sails towards europe on a 54 degree course at a constant rate of 36 mi/h. The second ship,neither a tropical destination, sails on a 144 degree course at a constant speed of 42 mi/h. Find the distance between the ships at ...

trig
A boat is 23 mi due west of lighthouse A. Lighthouse B is 14 mi due north of lighthousenA. Find the bearing of lighthouse B from the boat and the distance from lighthousenB tho the boat.

trig
A boat is 23 mi due west of lighthouse A. Lighthouse B is 14 mi due north of lighthousenA. Find the bearing of lighthouse B from the boat and the distance from lighthousenB tho the boat.

Trig
A cylindrical tank, 6 foot in radius, lies on it's side parallel and against the side of a warehouse. A ladder leans against the building, passes over and just touches the tank, and has a slope of -3/4. Find the equation of the ladder and the length of the ladder

trig
A woman that is 5'4" stands 15 ft from a streetlight and casts a four-foot long shadow. Determine the height of the streetlight and the degree measure of the angle of elevation form the tip of her shadow to the top of the streetlight, both accurate to two decimal places.

Trig
A 16 - foot ladder leaning against the side of a house reaches 12 feet up the side of the house. What angle does the ladder make with the ground

TRIG
A circular power saw has an 8-1/2 inch diameter blade that rotates at 4400 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. I'd...

math/trig
A flagpole casts a shadow 44 ft with the sun angle of elevation is 60.5 degrees. Find the height of the flagpole and at what angle is the shadow twice as long?

math/trig
A 16 ft ladder casts a shadow 44 ft with the sun angle of elevation is 60.5 degrees. Find the height of the flagpole and at what angle is the shadow twice as long?

trig
(a) sketch an angle A in standard position whose terminal ray passses through the point (1,-4) (b) Find the exact value of the six trigonometric functions of A, (c) Let B be the reference angle of A. Find a point on the terminal rsy of B in standard position and add B to your ...

trig
find the reference angle of -20000 and express the six trigonometric functions of -20000 in terms of the six trigonometric functions of its reference angle.

trig
my question is find all angles of theta and 2pi whose reference angle is alpha = pi/12. Give exact answers. i cannot for the live of me find this

Algebra 2/Trig
A 5'6" person is standing near a light post that is 18' above the ground. How long is the man's shadow when he is 5' from the base of the light post?

math trig
lets say you have a tree or a flagpole. Describe how you would measure this object using right angled triganometry

trig
what is the value of sin 70

trig
how to prove ; tan 10 degrees + tan 70 degrees - tan 50 degrees = sqrt 3

trig
prove that there exists no smallest possitive real number dose there exist a smallest positive rational number given a real number x, does there exist a smallest real y>x?

Math (Trig/pre-calculus)
some stars are so far away that their position appear fixed as earth orbits the sun. other stars, however, appear over time to shift their positions relative to the background of "fixed" stars. suppose that the star shown below appears to shift through an arc of theta = 0 ...

trig
Imagine that you are sitting 6 feet away from a television that is hung on a wall. The top of the TV is 8 feet off the ground. Which function correctly represents the angle that you make with the top of your television?

trig
Let  be an angle in standard position and the point (a, b) be the point of intersection of the terminal side of  with the unit circle. State the unit circle definitions of the six trigonometric functions. cos = sec = sin = csc = tan = cot =

trig
find the exact value of the expression , sin-1(-0.5)

trig
Construct the equations of the following trigonometric functions: A)A sine function with amplitude 2, period , phase shift /3 right B)A tangent function with a reflection in the y-axis, period ¾, translation up 5 units C)A cosine function with period 270°, translation down ...

trig
For the function -2sin(x-(pi/3)) between x = 0 and x = 2 : (6 marks) For what value(s) of x does y have its maximum value? For what value(s) of x does y have its minimum value? For what value(s) of x does y=1?

trig
Determine the period, amplitude and phase shift for each given function: A)y = -4 cos 3x + 5 B)y = 2/3 sin (30x-90degrees)-10 c)y = -0.38 tan (x/3+pi/3) d)y = pi cos(2x)+ pi

trig

trig
(sec 8 x - 1)/(sec 4x -1) = tan 8x/tan 4x Prove it!

algebra/trig
1. which number below is irrational? a)√4/9 b) √20 c)√121 Why is the number you chose irrational? 2. express in simplest form: √48-5√27+2√75 3. solve for x: (√x+2)-3=0

algebra/trig
1. f(x)=x^3+5 does f(x) have an inverse? if so, find the inverse and decide if it is a function. 2. if f(x)= 3x+1 and g(x)= x^2-1, find (f∙ g)(2) 3. if f(x)= (2x)^2, find f(-4) thank you :)

Calculus 1 Integration Trig Inverse
integral of (4/(x times the square root of (x^2-1)) + (1+x+x^3)/(1+x^2)dx

Caculus:Integration Inverse Trig
integral of (4/(x times the square root of( x^2-1)) + (1+x+x^3)/(1+x^2)dx

trig
find sin theta and tan theta if cos theta = 2/3 and cot theta is >0 and find cos theta and cot theta if sin theta = 1/3 and tan theta is <0 thanks! :)

Trig Functions
Which of the following lists contains only functions with vertical asymptotes in their graphs? A. Cosine, sine, tangent, cotangent B. Tangent, secant, cosecant, cotangent C. Sine, tangent, secant, cosecant D. Cosine, sine, secant, cosecant

I am catching up over summer on math units that I have to rewrite. In my textbook it asks me to find the base of two triangles and add them together. the smallest angle of the larger triangle is 30 degrees. The opposite side to the angle is 40cm. it gives me Tan 30 = 40/x 1/...

Trig
Claim: For all theta such that -pie/2<theta<pie/2 the following holds true: (1+tan(theta))^2=1/cos(theta)

Trig
There is an airplane at an altitude of 12000 ft. The angle of depression is 1 degree. How far on the ground is the plane.

Trig
verify the following identity: 2sinxcos^3x+2sin^3cosx=sin(2x)

Trig
verify the following identity: tanx+cotx/cscx=secx

Trig
verify the following identity: cos(A-B)/cosAsinB=tanA+cotB

Trig
verify the following identity: sin(x+y)*sin(x-y)=sin^2x-sin^2y

Trig
Verify the following identity: 1-cosx/sinx=sinx/1+cosx

Trig/Physics
Joe walks 5 miles in the direction degrees North of East, and then 10 miles in the direction 20 degrees West of North. (a) How far is Joe from his starting position? (b) In what direction is Joe from his starting position?

Trigonometry
Simplify the expression using trig identities: 1. (sin4x - cos4x)/(sin2x -cos2x) 2. (sinx(cotx)+cosx)/(2cotx)

Math Trig
13. What is the equation of a cosine function with amplitude 3, transition point (−1, 1), and period p? A. y = p cos [3(x − 1)] − 1 B. y = 3 cos [2(x − 1)] + 1 C. y = 3 cos [p (x + 1)] − 1 D. y = 3 cos [2(x + 1)] + 1 16. What is the transition ...

trig
establish identity 5csc^2theta-3cot^2theta=2csc^2theta+3

trig
Solve the equation on the interval [0,360) cos^2t+2cos(t)+1=0

trig
Find all solutions in the interval [0,360) sin(4t)=ã3/2

TRIG
A WORKER PRESENT SALARY IS 24 PER ANNUM HIS ANUAL INCREMENT IS 10% OF HIS BASIC SALARY WAT WUD BE HIS ANNUAL SALARY AT THE BEGINNIN OF THE THIRD YEAR

TRIG
Given that tan¤=3/4 and ¤ is in the second quadrant find sin2¤ (¤=theta)

TRIG
Given that tan¤=3/4 and ¤ is in the second quadrant find sin2¤ (¤=theta)

trig
determine the amplitude,period and phase shift of y=-2cos(pix-3)

Airplane trig question
An airplane, flying at a speed of 420 miles per hour, flies from point A in the direction 131 degrees for 90 min. and then flies in the direction 41 degrees for 30 min. in what direction does the plane need to fly in order to get back to point A?

Trig
find all solutions to the equation √3 csc(2theta)=-2 Would the answer be π/6 + 2πn, 5π/6 +2πn or π/6 + πn, 5π/6 +πn? or neither?

trig
sin t /1-cos t - 1+ cos t/sin t= 0

trig
Prove sin 1 cos  1 cos sin  0 1. Show each step of your proof. 2. Provide written justification for each step of your proof. C. If you use sources, include all in-text citations and references in

Trig
Given y=2-4cos(3x-pi/4), find each of the following, giving the general representation of the location of all minimums. Also provide the graph of two full cycles, labeling everything. Domain = Range = Amplitude = Period = Ph. Shft. = Interval for one Complete cycle = ...

Trig/Precal
An airplane flies on a compass heading of 90° at 310 mph. The wind affecting the plane is blowing from 332° at 40 mph. What is the true course and ground speed of the airplane?

Alg/Trig
Write an equation of a circle with center (2, 3) and radius 4.5.

trig HELP
A barn is 30ft. wide by 60ft long; the rafters make an angle of 40degrees with the horizontal. Find the area of each of the two gable ends and the area of the roof. Please Include Solution And If Possible An Illustration. Thank You In Advance :)

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