Question

Identify the period in degrees and radians:

y = sin2x:
y = cos(3/2)x:
y = 2sin(1/2)x:
y = 1.5cos0.25x:

Answer 1

The period of a sine or cosine curve

= 360°/k , where k is the coeffiecient of the angle

e.g. your 1st question

y = sin 2x , k = 2
period = 360°/2
= 180°

or in radians:
period = 2π/k = 2π/2 = π

do the others the same way.