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Question 200013
JEE Mathematics · Medium

Trigonometry: Sum-to-Product MCQ

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Sum-to-ProductMediumQuestion 200013

Question

sin C + sin D equals:
  1. A
    2 cos((C+D)/2) sin((C−D)/2)
  2. B
    2 sin((C+D)/2) cos((C−D)/2)
    Correct
  3. C
    2 sin((C+D)/2) sin((C−D)/2)
  4. D
    2 cos((C+D)/2) cos((C−D)/2)

Correct answer

2 sin((C+D)/2) cos((C−D)/2)

Explanation

Sum-to-product: sin C + sin D = 2 sin((C+D)/2) cos((C−D)/2).

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