Trig graphs

Front

What is the range of the sine function?

Back

-1 ≤ y ≤ 1

Front

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

Back

y = 5 cos x

Front

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

Back

The period is given by \( \frac{2\pi}{k} \).

Front

Find cos t if sin t = -\frac{12}{13}.

Back

cos t = -\frac{5}{13}.

Front

What is the equation of the graph shown if it has a vertical shift of -2 and an amplitude of 4?

Back

y = 4cos(θ/2) - 2

Front

What is the period of the function y = cos(3x - π)?

Back

The period is \( \frac{2\pi}{3} \).

Front

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

Back

The amplitude is 4.

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 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) + 3?

Back

The vertical shift is 3 units up.