Unit 6 "Graphing Sine and Cosine Functions"

Front

What is the equation of a sine function with an amplitude of 2?

Back

y = 2 sin x

Front

What is the equation of a cosine function with an amplitude of 3?

Back

y = 3 cos x

Front

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

Back

The period is 2π/k.

Front

What is the amplitude of the function y = 5 cos x?

Back

The amplitude is 5.

Front

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

Back

The vertical shift is 2 units up.

Front

What is the equation for a cosine function with a period of 2π/3?

Back

y = cos(3x).

Front

What is the amplitude of the function y = -4 sin x?

Back

The amplitude is 4 (amplitude is always positive).

Front

What is the period of y = 2 sin(4x)?

Back

The period is π/2.

Front

What does the term 'period' refer to in trigonometric functions?

Back

The length of one complete cycle of the function.