Question 85Asked in BPSC TRE 3.0 (2024) Mathematics Class 9-10

The value of √[(1 – sinθ)/(1 + sinθ)] is equal to√[(1 – sinθ)/(1 + sinθ)] बराबर है

√[(1 – sinθ)/(1 + sinθ)] बराबर है
  1. Asec θ – tan θsec θ – tan θ
  2. Bsec θ + tan θsec θ + tan θ
  3. Ctan θ – sec θtan θ – sec θ
  4. DMore than one of the aboveउपर्युक्त में से एक से अधिक
  5. ENone of the aboveउपर्युक्त में से कोई नहीं
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Correct answer: (A) sec θ – tan θsec θ – tan θ

Explanation

Multiply inside by (1 − sinθ): √[(1 − sinθ)²/cos²θ] = (1 − sinθ)/cosθ = sec θ − tan θ.अंश-हर को (1 − sinθ) से गुणा करें: √[(1 − sinθ)²/cos²θ] = (1 − sinθ)/cosθ = sec θ − tan θ।

From BPSC TRE 3.0 (2024) Mathematics Class 9-10 — Previous Year Paper

This is question 85 of BPSC TRE 3.0 (2024) Mathematics Class 9-10 — Previous Year Paper. See all questions of this paper with answers, or attempt the paper as a timed online test to get your score and all-India rank.