Question

Verify sin (360-theta)=-sin theta

Answer 1

see explanation

Explanation:

Using the difference formula for sine

sin(x - y) = sinxcosy - cosxsiny

Hence

sin(360 - Θ )

= sin360cosΘ - cos360sinΘ

= 0 × cosΘ - 1 × sinΘ

= 0 - sinΘ

= - sinΘ ← as required