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SSC CHSL 2021 · PYQ · Trigonometry · medium

If sec θ – cosec θ = 0 is an acute angle, then what is the value of sec²θ + cosec²θ?

Answer

The correct answer is C: 4. sec θ = cosec θ implies cos θ = sin θ, meaning θ = 45°. sec²45° + cosec²45° = 2 + 2 = 4.

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

Explanation

sec θ = cosec θ implies cos θ = sin θ, meaning θ = 45°. sec²45° + cosec²45° = 2 + 2 = 4.
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