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CDS 2022 · PYQ · Trigonometry · medium

If x = (1 - cosθ + sinθ)/(1 + sinθ), then what is (sinθ + cosθ - 1)/cosθ equal to?

Answer

The correct answer is C: x. Multiply numerator and denominator of x by (1+sinθ-cosθ)... Standard identity gives x = (sinθ+cosθ-1)/cosθ.

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

Explanation

Multiply numerator and denominator of x by (1+sinθ-cosθ)... Standard identity gives x = (sinθ+cosθ-1)/cosθ.
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