Express the product as a sum containing only sines or cosine

Express the product as a sum containing only sines or cosines. 1/2 [cos(5 theta) cos theta] cos^2 (6 theta^2) 1/2 [cos theta + cos (5 theta)] 1/2 [cos(5 theta) - sin theta]

Solution

Option C) is correct.

As we know Cos(A+B)+Cos(A-B) = 2CosACosB

cos3*cos2 = 0.5[cos(3 + 2) + cos(3 - 2)] = 0.5*[cos(5) + cos()]

 Express the product as a sum containing only sines or cosines. 1/2 [cos(5 theta) cos theta] cos^2 (6 theta^2) 1/2 [cos theta + cos (5 theta)] 1/2 [cos(5 theta)

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