Answer:
see explanation
Step-by-step 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