6: 3-5 Graphs of Sine and Cosine (Flashcardizz)

Front

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

Back

The period of the sine function y = sin(x) is 2π.

Front

What is the amplitude of the function y = A sin(x)?

Back

The amplitude of the function y = A sin(x) is |A|.

Front

What is the domain of the sine function y = sin(x)?

Back

The domain of the sine function y = sin(x) is (-∞, ∞).

Front

What is the range of the sine function y = sin(x)?

Back

The range of the sine function y = sin(x) is [-1, 1].

Front

What is the period of y = -3sin(x)?

Back

The period of y = -3sin(x) is 2π.

Front

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

Back

The period of y = 4cos(5x) is 2π/5.

Front

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

Back

The amplitude of the function y = 4cos(x) is 4.

Front

How do you find the period of a sine or cosine function of the form y = A sin(Bx) or y = A cos(Bx)?

Back

The period is calculated as 2π/|B|.

Front

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

Back

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

Front

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

Back

The phase shift is π/2 to the right.