Establish the identity. sin theta - sin (3 theta)/2 cos (2 theta) = -sin theta C

Question

Establish the identity. sin theta - sin (3 theta)/2 cos (2 theta) = -sin theta Choose the correct sequence of steps to establish the identity. A. sin theta - sin (3 theta)/2 cos (2 theta) = -2 sin theta cos (2 theta)/2 cos (2 theta) = -sin theta B. sin theta - sin (3 theta)/2 cos (2 theta) = 2 sin (2 theta) cos theta/2 cos (2 theta) = -sin theta C. sin theta - sin(3 theta)/2 cos(2 theta) = 2 sin (2 theta) sin theta/2 cos (2 theta) = -sin theta D. sin theta - sin (3 theta)/2 cos (2 theta) = 2 cos (2 theta) cos theta/2 cos (2 theta) = -sin theta

Explanation / Answer

Solution:

(A)

Using the formula of sin3x= 3sinx - 4sin3x in the numerator.

hence to get to the solution easily.

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