Establish the identity sin pi theta sin theta Which of the

Establish the identity sin (pi - theta) = sin theta. Which of the following four statements establishes the identity? A. sin(pi - theta) = sin pi sin theta + cos pi cos theta = (0) cos theta + (1) sin theta = sin theta B. sin (pi - theta) = sin pi cos theta - cos pi sin theta = (0) cos theta - (-1) sin theta = sin theta C. sin(pi - 0) = sin pi sin theta - cos pi cos theta = (- 1)sin theta - (0)cos theta = sin theta D. sin (pi - theta) = sin pi cos theta + cos pi sin theta = (0) cos theta + (1) sin theta = sin theta

Solution

sin(A-B)=sinAcosB-cosAsinB

sin(-)=sincos-cossin

sin(-)=(0*cos)-(-1*sin)

sin(-)=(0)-(-sin)

sin(-)=0+sin

sin(-)=sin