Sine & Cosine Graphs

Front

What is the period of a sine or cosine graph?

Back

The period can be found using the formula 2π/B, where B is the coefficient of x in the function.

Front

What is the equation of the graph that has an amplitude of 2?

Back

y = 2 sin x

Front

What is the domain and range of the function y = sin x?

Back

Domain: (-∞, ∞), Range: [-1, 1]

Front

Find the period of the function y = cos(3x).

Back

The period is 2π/3.

Front

What effect does a negative 'a' value have in the function y = a sin(bx) + d?

Back

A negative 'a' value causes a reflection across the X axis.

Front

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

Back

The amplitude is 4.

Front

How do you determine the phase shift of the function y = sin(x - π/2)?

Back

The phase shift is π/2 to the right.

Front

What is the vertical shift in the function y = sin(x) + 3?

Back

The vertical shift is 3 units up.

Front

What is the general form of a sine function?

Back

y = a sin(bx - c) + d, where a is the amplitude, b affects the period, c is the phase shift, and d is the vertical shift.

Front

What is the relationship between the sine and cosine functions?

Back

The sine function is a phase shift of the cosine function: sin(x) = cos(x - π/2).