Properties of Sine and Cosine Graphs

Front

Does the graph of sine have asymptotes?

Back

No, the graph of sine does not have asymptotes.

Front

What is the radius of the unit circle?

Back

1

Front

Where does the graph of y=sin(x) begin its first cycle?

Back

(0,0)

Front

What is the general shape of the sine graph?

Back

The sine graph is a smooth, continuous wave that oscillates between -1 and 1.

Front

What is the general shape of the cosine graph?

Back

The cosine graph is similar to the sine graph but starts at its maximum value of 1 when x=0.

Front

What is the period of the sine and cosine functions?

Back

The period of both sine and cosine functions is 2π.

Front

What is the amplitude of the sine and cosine functions?

Back

The amplitude of both sine and cosine functions is 1.

Front

What is the phase shift of the function y=cos(x)?

Back

The phase shift of y=cos(x) is 0.

Front

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

Back

The phase shift of y=sin(x - π/2) is π/2 to the right.

Front

What are the x-intercepts of the sine function?

Back

The x-intercepts of the sine function occur at integer multiples of π (nπ, where n is an integer).