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SSC CHSL 2025 · PYQ · Trigonometry · medium

If sin x + sin²x = 1, then find the value of cos²x + cos⁴x.

Answer

The correct answer is D: 1. From sin x + sin²x = 1, we get sin x = 1 − sin²x = cos²x. So cos²x = sin x.

  1. A.0
  2. B.−1
  3. C.2
  4. D.1✓ Correct

Explanation

From sin x + sin²x = 1, we get sin x = 1 − sin²x = cos²x. So cos²x = sin x. Then cos²x + cos⁴x = sin x + sin²x = 1.
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