Question

compare the period of y=1.5sin(4x) to the period of y=sin x

Answer 1

Do you know what the period of sin(x) is?

Answer 2

@CliffSedge is it 2pi?

Answer 3

Yes, sine and cosine both have a period of 2π.
If you multiply x in the sine (or cosine) function by a number, it changes the period.

Answer 4

That 4 in sin(4x) will reduce the period by a factor of 4. In other words, the new period will be 2π/4.

Answer 5

@CliffSedge so sin x period is 2pi and sin(4x) period is 2pi/4?

Answer 6

Yes, but the question is asking how do those two numbers compare to each other.

Answer 7

@CliffSedge okat. thank you so much!