Unit 8 Trig Graphs

Front

What is the equation of the graph for a sine function with an amplitude of 2?

Back

y = 2 sin x

Front

What is the frequency of the function y = 2 sin(2x)?

Back

2

Front

What is the period of the function y = 4 cos(1/3x)?

Back

6π

Front

What is the formula to calculate the period of a trigonometric function?

Back

p = \frac{2\pi}{f}

Front

What is the amplitude of a sine curve that ranges from 40 to 100?

Back

30

Front

What is the period of the function y = 4 cos(5x)?

Back

\frac{2\pi}{5}

Front

Define amplitude in the context of trigonometric functions.

Back

Amplitude is the maximum distance from the midline to the peak (or trough) of the graph.

Front

What is the relationship between frequency and period?

Back

Frequency is the reciprocal of the period: f = \frac{1}{p}.

Front

What is the equation of a cosine function with an amplitude of 3 and a frequency of 1?

Back

y = 3 cos x

Front

How do you find the midline of a sine function?

Back

The midline is the average of the maximum and minimum values of the function.