Question

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

Answer 1

Answer:

see the explanation

Step-by-step 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