Find all Θ in the interval [0,2π) that satisfy the equation sin2Θ=0?

Question

find all Θ in the interval [0,2π) that satisfy the equation sin2Θ=0

thnx, show work.

Answer 1

well, in order for sin to be 0, the y value on a circle has to be 0.

in other words, a 90 or 270 degree angle

so 2*theta must equal pi/2 or 3pi/2

so theta=pi/4

or 3pi/4

Answer 2

sin2(theta)=2 sin(t)cos(t)=0

sin(t)=0 or cos(t)=0

theta= 0 or 90 degree ,180,270