Question

Verify sin(180-theta)=sin(theta)
(SHOW WORK)

Answer 1

see the explanation

Explanation:

we know that

`sin(A-B)= sinAcosB-cosAsinB`

we have

`A=180\°\\ B=\theta`

so

`sin(180\°-\theta)= sin(180\°)cos(\theta)-cos(180\°)sin(\theta)`

Remember that

`sin(180\°)=0`

`cos(180\°)=-1`

substitute

`sin(180\°-\theta)= (0)cos(\theta)-(-1)sin(\theta)`

`sin(180\°-\theta)=sin(\theta)` ----> is verified