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SSC CHSL 2023 · PYQ · Trigonometry · medium

If sin A + sin² A = 1, then the value of the expression (cos² A + cos⁴ A) is ______.

Answer

The correct answer is C: 1. Given sin A = 1 − sin²A = cos²A. Then cos²A + cos⁴A = sin A + sin²A = 1 (by the given condition).

  1. A.2
  2. B.3/2
  3. C.1✓ Correct
  4. D.1/2

Explanation

Given sin A = 1 − sin²A = cos²A. Then cos²A + cos⁴A = sin A + sin²A = 1 (by the given condition).
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