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Question 200057
JEE Mathematics · Medium

Trigonometry: Compound angle MCQ

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

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Compound angleMediumQuestion 200057

Question

sin 75° equals:
  1. A
    (√6−√2)/4
  2. B
    (√6+√2)/4
    Correct
  3. C
    (√3+1)/2√2
  4. D
    (√3−1)/2√2

Correct answer

(√6+√2)/4

Explanation

sin 75° = sin(45°+30°) = sin45°cos30° + cos45°sin30° = (1/√2)(√3/2) + (1/√2)(1/2) = (√3+1)/(2√2) = (√6+√2)/4.

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