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Question 139Asked in BPSC TRE 2.0 (2023) Mathematics Class 9-10

The value of cos²θ + 1/(1 + cot²θ) iscos²θ + 1/(1 + cot²θ) का मान है

cos²θ + 1/(1 + cot²θ) का मान है
  1. A00
  2. B11
  3. C22
  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: (B) 11

Explanation

1 + cot²θ = cosec²θ, so 1/(1 + cot²θ) = sin²θ and the sum is cos²θ + sin²θ = 1.1 + cot²θ = cosec²θ, अतः 1/(1 + cot²θ) = sin²θ और योग cos²θ + sin²θ = 1।

From BPSC TRE 2.0 (2023) Mathematics Class 9-10 — Previous Year Paper

This is question 139 of BPSC TRE 2.0 (2023) 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.