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Question 200019
JEE Mathematics · Hard

Trigonometry: Identity Proof MCQ

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

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Identity ProofHardQuestion 200019

Question

(sin A + cos A)² + (sin A − cos A)² equals:
  1. A
    0
  2. B
    1
  3. C
    2
    Correct
  4. D
    4

Correct answer

2

Explanation

Expanding: (sin²A + 2sinAcosA + cos²A) + (sin²A − 2sinAcosA + cos²A) = 1 + 1 = 2.

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