Trigonometry Answers

: What is the range of the function y = 2sin x ?
A: 2π
B: All real numbers
C: [-2, 2]
D: π

: What is the period of the function y=2sin x ?

A: [-1, 1]
B: All real numbers
C: π
D: 2π

: Which natural phenomenon is the best example of periodic behavior?

A: The number of fish in a pond as a function of time
B: The closing value of the stock market at the end of each day
C: The number of hours of daylight each day
D: The amount of pollution in Los Angeles as a function of time

: The domain of the sine function is ____.

A: All real numbers
B: [-1, 1]
C: 2π
D: π

A sinusoid is a function whose values repeat based on positions of a point that moves around a circle

A: True
B: False

: Which function is not a sinusoid?

A: y=cos x
B: y=sin x
C: y = √x
D: None of the above are sinusoids

Prove tanx+tan4x+tan7x=tanx.tan4x.tan7x

Dr. Black is standing 15 feet from a street lamp. The lamp is making his shadow 8 feet long. He estimates that the angle of elevation from the tip of his shadow to the top of the street lamp is 50°. To the nearest foot, the street lamp is about_______ft.



If sinθ > 0 and tan θ < 0 then:

A: 90° < θ < 180°
B: 0° < θ < 90°
C: 180° < θ < 270°
D: 270° < θ < 360°

Assume sin t = 0.45 and sin w = 0.89, both t and w are positive values between 0 and 2π , and both t and w determine a terminal point in quadrant 1. Which statements best describes the relationship between t and w?

A: w > t
B: t > w
C: It is not possible to tell from the given information.

If sinθ = 4/5 and θ is in quadrant 2, the value of cot θ is ____. If necessary, use the slash mark (/) for a fraction bar.

There are values of t so that the equation cost = 5/4 holds.
A: true
B: false

There are values of t so that sin t = 0.6 and cos t = 0.8
A: true
B: false

The reference angle for 305° is _____°

If the point p(-3/5, y) lies on the unit circle and P is in the second quadrant, what does y equal? If necessary, use the slash mark (/) for a fraction bar.

Answer:_________


What are the coordinates of the terminal point determined by t = 20π /3

A: (½, √3/2)
B: (-1/2, √3/2)
C: (½, -√3/2 )
D: (-1/2, -√3/2)