Question

Which function's graph has a period of 1?

A. y=-4sin(2x)
B. y=3cos(x)
C. y=5sin(2pix)
D. y=cos(x-pi/2)

Answer 1

well we know the our new period equals the old period divided by b

So take letter c

2pi/2pi =1

Answer 2

let y=sin(wx)
\[period=\frac{2\pi}{w}\]
so check for each one