Sine & Cosine Graphs

Front

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

Back

Domain: (-∞, ∞), Range: [-1, 1]

Front

What is the difference between sine and cosine functions?

Back

Sine function (y=sin(x)) starts at (0,0) and has a wave pattern, while cosine function (y=cos(x)) starts at (0,1) and is shifted to the left by π/2.

Front

What is the amplitude of the graph of y=3sin(x)?

Back

The amplitude is 3.

Front

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

Back

Front

What is the equation of the graph with an amplitude of 5 and a cosine function?

Back

y = 5cos(x) or y = 5cos(5x) depending on frequency.

Front

What is the maximum value of y=sin(x)?

Back

The maximum value is 1.

Front

What is the minimum value of y=cos(x)?

Back

The minimum value is -1.

Front

How does the graph of y=sin(x) differ from y=sin(x + π)?

Back

y=sin(x + π) is a reflection of y=sin(x) across the x-axis.

Front

What is the phase shift of y=sin(x - π/2)?

Back

The phase shift is π/2 to the right.

Front

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

Back

The vertical shift is 2 units up.