Unit 6 Retest

Front

What is the value of sin(5π/6)?

Back

1/2

Front

Write an equation of a cosine function with a period of π and amplitude of 3.

Back

y=3cos(2x)

Front

If the height of a Ferris wheel is given by h(t) = -20 cos(\frac{\pi}{45}t) + 15, how many times will you go around in 6 minutes?

Back

4

Front

Evaluate sin^(-1)(-1).

Back

-\frac{\pi}{2}

Front

What is the value of cosine at 135 degrees?

Back

-\frac{\sqrt{2}}{2}

Front

Define the amplitude of a trigonometric function.

Back

The amplitude is the maximum distance from the midline to the peak (or trough) of the wave.

Front

What is the period of a cosine function?

Back

The period is the distance (or time) it takes for the function to complete one full cycle.

Front

How do you find the period of a sine function given its equation?

Back

The period can be found using the formula \frac{2\pi}{b}, where b is the coefficient of x in the function.

Front

What is the relationship between sine and cosine functions?

Back

Sine and cosine functions are phase-shifted versions of each other; sin(x) = cos(\frac{\pi}{2} - x).

Front

What is the value of cos(0)?

Back

1