JEE Mathematics · Medium

Trigonometry: Product-to-Sum MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

Timer-based practiceDetailed answer reviewMobile-friendly flow
Product-to-SumMediumQuestion 200012

Question

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

Correct answer

sin(A+B) + sin(A−B)

Explanation

Using product-to-sum: 2 sin A cos B = sin(A+B) + sin(A−B).