Trigonometric Functions

What is the range of this function?

(- infinity, + infinity)

5 pi /6 in degrees

-150 (incorrect)

Function g is a transformation of the parent sine function such that f(x)=sin⁡(−3⁢x)+2. Which graph represents function g?

c. see picture

What is the amplitude of y = cos(x)?

1

Theta = 3pi / 4, what statements are tru

1. Reference angle = 45 2. Sine = Root 2 over 2

The graph below shows the height of a seat on a Ferris wheel as the Ferris wheel goes through its rotation. The function describing this graph is a transformation of the parent sine function, y=sin⁡(x). Which value best describes the maximum of the transformed function?

105 feet

Select the correct answer. Heather is doing push-ups and decides to model her movement. The distance she is from the floor over time can be modeled by the following graph. How long does it take Heather to do a single push-up?

4 seconds

Function g is a transformation of the parent tangent function such that f(x)=tan⁡(x−4)+2. Which graph represents function g?

C. see picture

A trigonometric function models the monthly rainfall of a city, which reaches a maximum monthly rainfall of 8 inches in the spring and fall and a minimum monthly rainfall of 0 inches in the summer and winter. If r(t) models the monthly rainfall t months from when the monthly rainfall started being recorded for the city, what is the domain of function r?

[0, infinity)

Which statement is true of the graphed function?, picture is symmetrical about the y axis

even

The graph of function g is created by applying these transformations to the parent tangent function: reflection over the x-axis horizontal stretch by a factor of 5 vertical shift down 3 units Write the equation representing function g.

g(x) = -tan(5x)-3

Select the correct answer from each drop-down menu. Flynn is playing with a toy that is tied to his hand by a string. The toy falls toward the floor then rises back toward Flynn's hand, and repeats this motion, following the path illustrated by given graph.

h(t) = 1.75 cos(1/3 * pi*t) + 2, the +2 on the end is WRONG, the other two are correct.

The parent cosine function is transformed to create function m through a phase shift left pi/3 units. Which equation could represent function m?

m(x) = cos(3x + pi)

Consider this equation. cos(theta)=root(11) / 5 If theta is an angle in quadrant I, what is the value of sin(theta)?

root(14) / 5

Which transformation causes the described change in the graph of the function f(x)=sin⁡(x)? The transformation ___________ results in a vertical shift down. The transformation ___________ results in a horizontal shift left. The transformation ___________ results in a vertical shift up. The transformation ___________ results in a horizontal shift right.

sin(x) - 7 sin(x+7) sin(x) + 7 sin(x-7)

what is the domain of y = sin(x)

( - infinity, + infinity)

What is the corresponding point on the unit circle for the given radian measure? Theta = 5pi over 3

(1/2, - (root 3)/2)

tan of theta = negative root (17/16), what is the cosine of theta?

- (root 17 )/6

The rod on a pump rises and falls as the pump operates. Function l gives the height of the top of the rod above the pumping unit in feet, f(x), as a function of time in seconds, t, after the pump is activated. f(x)=3/2*⁢sin⁡(pi*t+pi/2)+3/2 What is the range of the given function?

0 feet to 3/2 feet is INCORRECT