Precal: Sine, Cosine, and Tangent Graphs

Front

What is the definition of Amplitude in trigonometric functions?

Back

Amplitude is the distance from the midline to the maximum or minimum value of the function.

Front

What does the Period of a trigonometric function represent?

Back

The period is the horizontal length required to complete one full cycle of the function.

Front

How do you calculate the amplitude of the function y = 3sin(x)?

Back

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

Front

What is the formula to find the period of the function y = a sin(bx)?

Back

The period is calculated as 2π/|b|.

Front

What is the vertical shift of the function y = sin(x) + 2?

Back

The vertical shift is 2 units up.

Front

What is the effect of a negative sign in front of the sine function, such as in y = -sin(x)?

Back

It reflects the graph across the x-axis.

Front

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

Back

The period is 2π/3.

Front

How does a phase shift affect the graph of a sine function?

Back

A phase shift moves the graph left or right along the x-axis.

Front

What is the amplitude of the function y = -2cos(x)?

Back

The amplitude is 2, as amplitude is always a positive value.

Front

What is the vertical translation of the function y = 5 + cos(x)?

Back

The vertical translation is 5 units up.