29 Answered Questions for the topic Trigonometry Functions

If two angles in the ration of 5:4 are represented by 5x and 4x, express each of the following statements as an equation; then find x and the angles.

A. The angles are adjacent and together form an measuring 45 degrees B. The angles are complementary C. The angles are supplementary D. The angles are two angles of a triangle whose third angle is... more

Why do sine waves cycle between 1 and -1?

In the sine function y=sin(x), why does the sinusoid travel between 1 and -1

How to find coordinates on terminal arm

The angle theta is in the first quadrant and sin of theta = 2/sqrt(13) determine the possible coordinates for point P on the terminal arm

Find x, sin((2x+3))=cos((x-12))

I am doing study island and am stuck on this problem. I have to find X.

Sinusoidal functions (wave problem)

The depth of water in a certain area can be estimated by using this equation:   h(t)=-4.3cos(pi/6.35(t+1.6))+8.4   A boat requires a depth of 7.2 m to ensure safe passage into the area. The... more

(tanθ+cotθ)^2=sec^2θ csc^2θ

Proving identities

If you are given 3 sides of a triangle, explain how you would find all three angles?

If you are given 3 sides of a triangle, explain how you would find all three angles?

trigonometry question?

Kevin is riding a mini Ferris wheel. He reaches the maximum height of 9m at 5s and then reaches the minimum height of 1m at 65s. a.What is the period (the length of time to complete one cycle)?... more

Find all exact solutions on [0, 2π). (Enter your answers as a comma-separated list.)

tan(x) − 2 sin(x) tan(x) = 0

If sin(x) = 1/8 and x is in quadrant I, find the exact values of the expressions without solving for x.

If sin(x) = 1/8 and x is in quadrant I, find the exact values of the expressions without solving for x.   a) sin(2x) b) cos(2x) c) tan(2x)

Trigonometry sin^3(x) + cos^3(x) * tan(x)

Let f(x) = sin3x + cos3x (tan x)   Show that f(x) = sin x   Thank you for your time!

TRIGONOMETRY - functions & angles in standard position

Find the value of cos (angle) in (angle) is in standard position and the point (5,-12) is on the terminal side of (angle).  b) -5/13 c) 5/13 The correct answer is C, but I chose B. Why is the... more

Describe the transformations

Describe the transformations that have taken place for the graph g(x)=cosx to become the graph h(x)=-2cos(pi*x + pi/4).  

Express cos4x as a trig function of x

Using only the double angle identities how to solve for this? im stucked after 2cos^2 (2x) -1

solutions of the equation that are in the interval [0, 2p).[cot2 ? +sqrt3cot ? = 0 ]

trig problem using the unit circle for

Trigonometry

Given that  cosθ=-4/√53 and that the terminal side is in quadrant II, find the length of the third leg and  the other five trigonometric function values.

find the value of k

if tan ( Arc cos (square root of 3)/k) =(square root of 3)/3 then k is?   the square root is only on 3, in both cases, not on the 3 on the bottom or k on the bottom.

Maths questions On Trigonometry and functions....

If 0≤α≤π and 0≤β≤π meets α+β=2/3π and sin α=2sinβ,the value of tan(α-β)=...A.1B.square root 2C.2-(square root 3)D.square root 3E.2+(square root 3)A function f(x)=4x^3-18x^2+15x-20 is maximum on... more

Determine which of the following does NOT represent an angle co terminal...

Determine which of the following does NOT represent an angle co terminal with the given angle θ= 5π/8?   a) -13π/8   b) 21π/8   c) 37π/8   d) -11π/8    

The height above the surface of the water, h, in centimeters, of a certain spot on a paddle of a miniature river boat is modeled by h(t) = 5.5cos(72t) +35

where t is the time in second since the boat started moving.    A) What are the maximum and minimum height of the spot on the paddle?  B) What is the speed of the rotation?  C) How long does it... more

Determine the point(s) of intersection of f(theta) = 8sec(2theta) + 4, and g(theta) = 5sec(2theta) - 11 that lie on the interval 0 - 360 degree.

It was on my grade 11 math test, a thinking question, and our teacher never gave answers for it. I'm worried it will be a question for the exam. I'm not sure how to go about it, other than making... more

write 2 linear functions : one to model a cost that the business has and the other to model the revenue of the business

the template of the model might look something like this: revenue= (amount off each customer)(number of customers) Cost=(cost created by each customer)(number of customers) + (some flat cost... more

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Help me please and show work please From a boat on the lake, the angle of elevation to the top of a cliff is 14°28'. If the base of the cliff is 743 feet from the boat, how high is the cliff (to... more
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