Express sin 12 theta + sin 4 theta as the product of sines and cosines.
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Express sin 12 theta + sin 4 theta as the product of sines and cosines.
- Given Express sin 12 theta + sin 4 theta as the product of sines and cosines.
- We need to express as product of sin theta and cos theta
- So we have sin A + sin B = 2 sin (A + B / 2) cos (A – B / 2)
- So sin 12 theta + sin 4 theta = 2 sin (!2 theta + 4 theta / 2) cos (12 theta – 4 theta / 2)
- = 2 sin 8 theta cos 4 theta
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