Amplitude and Period of Trig Functions

Front

What is the definition of amplitude in trigonometric functions?

Back

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

Front

What is the formula to find the period of a sine or cosine function?

Back

Front

What is the period of the function y = 4Cos(2x)?

Back

Front

What is the amplitude of the function y = 3sin(7x) - 2?

Back

The amplitude is 3, which is the coefficient of the sine function.

Front

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

Back

Front

How does changing the coefficient of x in a trigonometric function affect its period?

Back

Increasing the coefficient of x decreases the period, while decreasing it increases the period.

Front

What is the difference between sine and cosine functions?

Back

Sine functions start at the midline and go up, while cosine functions start at the maximum value.

Front

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

Back

Front

What is the amplitude of the function y = -5cos(3x)?

Back

The amplitude is 5, as amplitude is always a positive value.

Front

What is the effect of a negative sign in front of a cosine function?

Back

A negative sign reflects the graph across the x-axis.