Verify sin(360°-theta)= -sin theta

Question

Verify Sin (360°- 0) = -sin0

Answer 1

sin(360-θ)=-sinθ

-sinθ=sin(-θ)

sin(360-θ)=sin(-θ)

for example , let θ=60

sin(360-60)=sin(-60)

sin(300)=sin(-60) (google these to see that they are equal)

sin(300) goes counterclockwise and sin(-60) goes clockwise and you end up at the same place

if this isn't good enough for a proof use the following...

sin(360-θ)=

sin(360)cosθ-cos360sinθ=

0(cosθ)-1(sinθ)=

0-sinθ=

-sinθ