Answer:
Step-by-step explanation:
I'm going to use a Pythagorean identity to help make this make sense.
[tex]sin^2\theta+cos^2\theta=1[/tex]
We are given that cos(0) = 1, so
cos²θ = 1² which simplifies to
cos²θ = 1. So filling into our trig identity:
sin²θ + 1 = 1 and
sin²θ = 0 then
sinθ = √0 so
sinθ = 0
[tex]sin^{-1}\theta=0[/tex] so
sin(0) = 0