Trigonometry

trig
Find the exact value of costheta if ,sintheta=-2/3 and theta is in standard position with its terminal side in Quadrant IV.

Trig
Two pullies are connected by a belt, Pulley A has a radius of 3 cm and pulley B has a radius of 6cm. As Pulley A rotates, a drop of paint on the circumference of pulley B rotates around the axle of Pulley B. Initially the paint drop is 7 cm above the ground determine the ...

Trig
For parametric equations x=a cos t And y=b sin t Describe how the values of a and b determine which comic section will be traced.

Trig
While the car is being driven , the tire picks up a nail. How high above the ground is the nail after the car has travelled 1km ... How high above the ground will the nail be after the car has travelled 0.1 km

Trig
Theta = x Question: Given angle x, where 0degrees <= x <= 360 degrees, solve for x to the nearest degree. b) sin(x + 20degrees) = 0.2045 c) tan(90degrees - 2x) = 1.6443 I am confused as to where 148 degrees comes from in question b and how there are 4 possibilities in ...

Trig
rewrite in polar form x^2+y^2-6y-8=0 r^2=6r+6sin theta +8 r^2=6rsin theta +8 r^2=6r+6cos theta +8 r^2=6r cos theta +8

Trig
rewrite in polar form x^2+y^2-6y-8=0 Please help totally don’t et this :/

Trig
If sin a=0.31 cos a=0.95 sin b=0.47 and cos b=0.88 what is sin (a+b)? 0.78 -0.17 0.98 0.72

Trig
An airplane flies 180 miles from point A in the direction 120 degrees and then travels 210 degrees for 80 miles. Approximately how far is the airplane from point A? I know that I will need to use the law of cosine. distance^2= a^2+b^2-2abcos? I am not sure how to find the ...

trig
If tanx + cotx =5 tgen find tan^2x +cot^2x

Trig
A telephone pole that is 14ft y’all has fallen against a house. If the top of the telephone pole touches the house 8ft. Above the ground, what is the angle that the telephone pole makes with the ground? Stuck on this question on my quiz not sure how I should set this up or ...

Trig
Tan theta / 1- tan theta -cot theta /1-cot theta =cos theta + sin theta/cos theta -sin theta

Trig.
A statistician is analyzing data to find a model. She has determined the following characteristics of the data. Which characteristics of the data defined the period? -The initial value is 5 -all of the values are negative -the difference between the maximum and minimum values ...

Math (Trig Identities)
I am currently working on a problem relating to trigonometric identities and I seem to be stuck. The question wants me to find sin(x/2) when cosx = -(12/13) in the interval (pi,3pi/2). I know that the eventual answer will be 5/sqrt26, however, I am not sure how to get there. ...

math- trig
What would be the 2 solutions to this equation? sinx(tanx) + tanx = sqrt(3)(sinx) + sqrt(3) I know that "x = pi/3 +pi k" is one, but I need help finding the other. Cheers

Trig
Write an equation of the circle described below: Given a circle with the center (5,1) and a point on the circle (8,-2).

Trig
a pilot wishes to fly on a course bearing 45 and with a ground speed of 600 km per hour. If a wind is blowing from the southwest (bearing 315) at 80 km per hour. What must be the heading and air speed of the aircraft?

Trig.
Hey I am doing test corrections and need help, Which of the following inverse functions are defined for x=-1/2 ? Select all that apply. Y=tan^-1 x Y=cos^-1 x Y=sin^-1 x Y=csc^-1 x Y=sec^-1 x Y=cot^-1 x

Trig
the graph of an inverse trigonometric function passes through the point (1,pi/2). which of the following could be the equation of the function Y=Cos^-1 x Y=cot^-1 x Y=Sin^-1 x Y=Tan^-1 x

Trig
Explain how to find the reference angle of 1406 degrees. Find the reference angle. The reference angle is 34 but how do you get that?

Trig
A tourist looks from the observation deck of the space needle in Seattle. The deck is at a height of 520ft. She sees her friend on the ground below at an angle of depression of 83.1 degrees. What is the distance between the two? Round to the nearest tenth of a foot. Options: ...

Trig Math
Arc Length Stuff: Have you ever wondered what the circumference of the Earth is? Well, at the Equator, the distance around is about 25000 miles (assuming the Earth is a sphere). What if you wanted to know the distance around at any latitudinal location? For instance, if you ...

Trig
Last question! Just seeing why I’m getting these wrong In a right triangle with a leg of 4 and a hypotenuse of 8, find the measure of all angles. Correct answer: 30deg, 60deg, 90deg How?

Trig.
Given sin ∅ 3/5, find a, the other angle in the right triangle The answer is 30,60,90 How is this someone explain?

Geometry (trig part)
How far apart would the top of the drawbridge be when both sides are open, if the angle of elevation of the drawbridge was 20°, to the nearest hundredth? (Extra info: distance inbetween is labeled "x")

trig
sin2piex-cos5piex Is this a sinusoid? No. because 2 pie x and 5 pie x are not the same/equal.?

Trig
Show that the following statement is an identity by transforming the left side into the right side. sinθ(cscθ − sinθ)= cos^2 θ

Urgent gr11 trig!!!
A tidal wave reaches low tide at 3:00AM and high tide at 3:00PM. The tide can rise and fall 10m from the sea level. If at low tide the water level is 2m above the seabed (bottom of the sea) a) determine an equation to model the sea level above the sea bed S and time t in hours...

math (trig)
Given tan 0 = -5/12 determine the possible values of 0 to the nearest hundreth So what I did is find that tan-1(5/12) equals 0.35. Then because tan can be negative in quadrants 1 and 3 subtract 0.35 from pi and then from 2pi. So I got 2.79 and 5.933 I'm not sure if this is ...

math (trig)
For the following value of cos 0, determine the rad value of 0 for pi < 0 < 2pi (greater than or equal to pi and 2pi) -1/2 I don't understand I found out that the inner circle val is pi over 3. But I can't work out how to find 0

Math
Which of the following values best approximates of the length of c in triangle ABC where c = 90(degrees), b = 12, and B = 15(degrees)? c = 3.1058 c = 12.4233 c = 44.7846 c = 46.3644 In triangle ABC, find b, to the nearest degree, given a = 7, b = 10, and C is a right angle. 35...

trig transformations
transformations in this function y= sin (X/9) it is 1/9 but that is not the transformation right? Is it a horizontal stretch of 9 because you flip it over, since it is horizontal ?

Math (Trig)
There's a question on my homework that says: Tan(x)=10/17. I an not sure how to solve the Tan(x) part. Am I supposed to do Tan-1(x)? Could someone help please?? Thanks!

math - trig/pythagoras
A piece of flat pastry is cut in the shape of a right-angled triangle. The longest side is 6b cm and the shortest is 2b cm a) Find the length of the third side. b) Prove that the area of the triangle is equal to 4√2b^2 cm^2.

Trig
a ship leaves port at 12:00 noon sailing at a bearing 193° measured clockwise from north. if the ship sails 20 knots, how many nautical miles south and how many nautical miles west will the ship have traveled by 6:00pm?

math
Trig Identities prove sinx+1 \ 1-sinx = (tanx+secx)^2

Trig
Tan 75/2 solve this

calculus/ trig
explain how to find the time it takes for a rocket following the path of the parametric equations, x = 3t 2 and y = -9t + 18, to hit the ground

Alg II/Trig
Graph 2x^3 + 9x^2 + 4x - 15 = 0

Trig
A group of friends are going on a vacation together. They plan to rent a large house for $3000 and share the cost. They also estimate that the buying food for the week will cost $150 per person. Write a reciprocal function to calculate the cost per person for the trip (C), ...

Trig
How do we show (sin 10)^2 + (sin 50)^2 + (sin 70)^2 = 3/2 ??? I can't even think of a way to start this..

Math, Trig
A soccer player kicks a ball from the ground to a maximum height of 12 m. The high point in the trajectory of the ball occurs at a distance of 18 m from the kicker. On the downward path, another player heads the ball at a height of 2.2 m from the ground. Write a quadratic ...

Trig
For which of the values of m do the graphs of functions y=x^2-mx+4 and y=x^2-19x+9 not intersect?

trig
secx = 4 in Q2 find sin2x,cos2x,tan2x

Algebra, Trig
Question: A wind turbine has a total height of 50m, with 3 equally spaced blades that are 16m in diameter. 1) Create equations modelling the height of points on the tips of blades One, Two and Three. Graph these three curves on one graph. [Answers: Blade 1: y=8sin(x)+42 Blade ...

Algebra, Trig
The full question: A point on a wheel has an equation y = 10 sin (x - 45°) + 20 that models the height as the wheel rotates. Answer the following questions. 1) What is the height if the wheel has rotated 135°? 2) What are the possible values of rotation (i.e., the value of x...

Algebra, Trig
You are standing at a base of a Ferris Wheel which is 4 m above ground while your friend is riding. The Ferris Wheel is 8m in diameter. Describe how the shape of the sine curve models the distance your friend is to the platform you are on. Identify the function that will model...

Math
Solve the indefinite integral of 1/sqrt(x^2+2x+5). I solved it all out by completing the square and then trig sub and then drawing a triangle to go back to x variable and got: ln |(sqrt(x^2+2x+5)/2 + (X+1)/2 ) | but the book answer is: ln |(sqrt(x^2+2x+5) + x + 1 ) | So, how ...

Math
Solve the indefinite integral of 1/sqrt(x^2+2x+5). I solved it all out by completing the square and then trig sub and then drawing a triangle to go back to x variable and got: ln |(sqrt(x^2+2x+5)/2 + (X+1)/2 ) | but the book answer is: ln |(sqrt(x^2+2x+5) + x + 1 ) | So, how ...

Math
Solve the indefinite integral of 1/sqrt(x^2+2x+5). I solved it all out by completing the square and then trig sub and then drawing a triangle to go back to x variable and got: ln |(sqrt(x^2+2x+5)/2 + (X+1)/2 ) | but the book answer is: ln |(sqrt(x^2+2x+5) + x + 1 ) | So, how ...

Math (Algebra 2 / Trig)
y=x^2+bx+7 has a vertex at (-4,-9). What is the value of b?

Trigonometry
Two students are passing a ball back and forth, allowing it to bounce once between them. If one students bounce passes the ball from a height of 1.4 m and it bounces 3 m away from the students, where should the second student stand to catch the ball at a height of 1.2 m? ...

Trig
when sitting atop a tree and looking down at his pal Joey, the angle of depression of Mack's line of sight is 53degrees 51inch. If joey is known to be standing 25 feet away from the base of the tree, how tall is the tree (to the nearest foot.) Who ever answer this plz do it ...

math trig
Point P(k

Calculus
S=integral sign S3x(4-x^2)^1/2 use trig substitution I am confused I got x sin(sin^-1(x/2))+cos(sin^-1(x/2))

trig
Suppose that θ is an angle in standard position whose terminal side intersects the unit circle at , −15/17,−8/17

Trig
Jimmy wants to rewrite the set of parametric equations x = 1/2 T + 3 and y = 2T - 1 in rectangular form by eliminating T. Which of the following equations would help him to eliminate T. A) t = 2(x-3) B) t = 2(x+3) C) t = y-1 / 2 D) t = 2(y+1)

Math Trig
I can't seem to get the right answer on my assignment. I keep on getting 276.403 and seem to get it wrong. Please help. Suppose that cot(θ)=−8.91 and 0∘≤θ<360∘ Find the two distinct angles.

Math (Double checking trig identity)
Since sec^2θ - 1 = tan^2θ I know this is trivial, but I want to make sure I'm doing this right before I apply it to the integral I'm trying to solve... If I have some constant a, (a^2secθ)^2 - (a^2)^2 If I wanted to change this to tan would it be: a^4tan^4θ? Any help is ...

Trig
Find the derivative. {sqrt(x+8)}*(x^2+20x) (x+8)^1/2(2x+20) minus (1/2)(x+8)^-1/2(x^2+20x) I'm not feeling confident I am on the right track and I have a quiz tomorrow over this.

Trig
Find the derivative using the product rule. {sqrt(x+8)}*(x^2+20x) (x+8)^1/2(2x+20) minus (1/2)(x+8)^-1/2(x^2+20x) I'm not feeling confident I am on the right track and I have a quiz tomorrow over this.

Trig help
Which of these is equivalent to 3π/5 rad ? A) 108° B) 150° C) 216° D) 300° I'm thinking A

Trig help
Find the cos(Θ) of an angle in standard position if the terminal side passes through the point (4, -8). -2 -2/sqrt5 1/sqrt5 2 I think it is C but I am not so sure.

Math (integrals) (Trig Subsititution)
Find ∫1/((x^2+5)^(3/2)) dx I figured this would be a trig substitution problem, so I set x = sqrt(5)tanθ and dx = sqrt(5)sec^2(θ) dθ This would lead to: ∫(sqrt(5)sec^2(θ)) / (5tan^2(θ) + 5)^(3/2) dθ But I'm kinda lost on what to do next. I'm used to breaking up the ...

trig
To help a sapling (young tree) grow straight, a gardener attaches three guy wires to it and the ground. She places the wires two feet below the top of the tree. If the wires are ten feet long and each makes an angle of 58 degrees with the ground, find the height of the tree to...

trig ratios'
To help a young tree grow straight, a gardener attaches three guy wires to it and the ground. She places the wires two feet below the top of the tree. If the wires are ten feet long and each makes an angle of 58 degrees with the ground. Find the height of the tree.

Algebra/Trig
To ensure safety, the recommended angle that a ladder leaning against a building makes with the ground is 75 degrees. Will a 12 foot ladder reach a window 10 feet above the ground if it leans against the building with this angle? Use trigonometry to justify your answer.

Trig
To help a young tree grow straight, a gardener attaches three guy wires to it and the ground. She places the wires two feet below the top of the tree. If the wires are ten feet long and each makes an angle of 58 degrees with the ground. Find the height of the tree.

Trig
Right triangle PQR with the right angle at Q has one side measuring 46 feet and the hypotenuse measuring 54 feet. Find the other side as a radical in simplified radical form and to the nearest tenth.

Trig
Is a triangle that has sides which measure 8, 15, and 17 a right triangle? Justify your answer, ie,

Trig Help Please
A smokestack is 200 ft high. A guy wire must be fastened to the stack 30.0 ft from the top. The guy wire makes an angle of 42.0° with the ground. Find the length of the guy wire.

Trig
A conveyor is used to lift paper to a shredder. The most efficient operating angle of elevation for the conveyor is 35.2°. The paper is to be elevated 16.0 m. What length of conveyor is needed?

Trig
The length of a rectangle is 142.9 in. If the diagonal makes an angle of 32.1o with this side, find the measure of the diagonal of the rectangle rounded to the nearest tenth of an inch. let x represent the diagonal.

trig
An airplane has an airspeed of 450 kilometers per hour bearing Upper N45E. The wind velocity is 60 kilometers per hour in the direction Upper N30W. Find the resultant vector representing the path of the plane relative to the ground. What is the ground speed of the​ plane? ...

TRIG
The length of a rectangle is 142.9 in. If the diagonal makes an angle of 32.1o with this side, find the measure of the diagonal of the rectangle rounded to the nearest tenth of an inch. let x represent the diagonal.

Calculus (trig derivatives)
A lighthouse 2 miles offshore has a light that rotates once every 20 seconds. At what rate is the light traveling along the shore if it is shining on a point 4 miles along the shore from the point nearest the lighthouse?

trig
Find all solutions in the interval [0, 360) 8cos^2x+6cosx+1=0

Trig/Pre-Calc
A bird is flying 30 mph in a direction 30 degrees south of east. Affecting the flight of the bird is a wind blowing from the northeast to the southwest at a speed of 10 mph. What is the resulting speed of the bird?

Intro to Trig
Which of the following best corresponds to the x-value where the function f(x)=cos x is a minimum in the interval x = [25,30]? A) 25.1 B)26.7 C)28.3 D)29.8 Can someone show me how to solve this step by step? Thanks :)

Trig
Morana is trolling for salmon in Lak Ontario. She sets the fishing rod so its tip is 1 m above the water and the line enters the water at an angle of 45 degrees. Fish have been tracked at a depth of 45km. What length of line must she let out?

Trig
cotxcosx/csc^2x-1 Please help me verify

Trig
Please help using identities (2tan30)/(1-tan^2 30)

Trig
Please help me to simplify using identities 1+tan^2x/tan^2x I don't really understand how to do please help

Trig
In which quadrant would the image of point (5,-3) fall after a dilation using a factor of -3?

Trig
Find all solutions of the equation in the interval [0,2pi) 2 cos^2 x-cos x = 0 -2cos^2 + cosx + 0 (x+1/2) (x+0/2) (2x+1) (x+0) -1/2,0 2Pi/3, 4pi/3, pi/2, 3pi/2 my teacher circled pi/2 and 3pi/2 What did I do wrong? I don't understand...

Pre-Calc Trig
Create both a sine and cosine model for height of a passenger off of the ground for each of the following Ferris wheels. 1) customers must climb up 12 foot steps to get into the Ferris wheel (I.e) bottom of Ferris wheel is at the top of the steps Diameter 67ft Rotional speed 1...

Precalculus
Rewrite as single trig function: sin(8x)cosx-cos(8x)sinx I know I can simplify sin(8x) into 4sin2xcos2xcos4x, but I'm stuck after that

Trig
Right circular cylinder A has a volume of 2700 cubic inches and radius of 15 inches. Right circular cylinder B is similar to cylinder A and has a volume of 800 cubic inches. Find the radius of cylinder B.

Trig Identities
secx - sinxtanx

Trig
Find the area of a triangle whose vertices are A(0,2), B (2,7), C (0,10).

Trig
Find the area of quadrilateral whose verties are A(0,2), B(2,7), C(6,10), and D (9,-2).

Trig
what are the intercepts of the graph of f(x)=4cos^2 -3 on the interval [0, 2pi]?

Math
Find the exact value of the trig function below. cos2Ø if sinØ = 2/5

Math
Find the exact value of the trig function below. cos a/2 if cosa = - 31/49 (assume cos a/2 is negative)

Trigonometry
5. If a trig equation has one answer, how many answers will it have? (Provided you do not restrict the domain?) 6. Why are the graphs of the inverse functions restricted to one period of the function? I only need to answer these two to finish my homework and I can't figure out...

Maths Trig
A 60m long bridge has an opening in the middle and both sides open up to let boats pass underneath. The two parts of the bridge floor rise up to a height of 18 m. Through what angle do they move?

Trig
Convert the polar equation to rectangular form. r=4cos-4sin What I have so far: r^2=4rcos-4rsin x^2+y^2-4x+4y x^2-4x+y^2+4y=0

Trig
The vector y has magnitude 5 and direction angle 17°. The vector z has magnitude 3 and direction angle 180°.

Trig
(Tan^2 x) - 2 tan x - 3 / tan x + 1

Math - Trig
Two buildings of equal height are 850 feet apart. An observer on the street between the buildings measures the angles of elevation to the tops of the buildings as 29° and 40°. How​ high, to the nearest​ foot, are the​ buildings? I don't know how to set this up

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Homework Help: Math