Question 120Asked in BPSC TRE 1.0 (2023) Mathematics Class 9-10

(sin θ − cos θ + 1)/(sin θ + cos θ − 1) is equal to(sin θ − cos θ + 1)/(sin θ + cos θ − 1) बराबर है

(sin θ − cos θ + 1)/(sin θ + cos θ − 1) बराबर है
  1. A1/(sec θ − tan θ)1/(sec θ − tan θ)
  2. B1/(cosec θ − cot θ)1/(cosec θ − cot θ)
  3. C1/(cot θ − tan θ)1/(cot θ − tan 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) 1/(sec θ − tan θ)1/(sec θ − tan θ)

Explanation

Using the identity (sin θ − cos θ + 1)/(sin θ + cos θ − 1) = 1/(sec θ − tan θ) (check at θ = 60°: both sides are about 3.73).सर्वसमिका (sin θ − cos θ + 1)/(sin θ + cos θ − 1) = 1/(sec θ − tan θ) (θ = 60° पर जाँच: दोनों पक्ष लगभग 3.73)।

From BPSC TRE 1.0 (2023) Mathematics Class 9-10 — Previous Year Paper

This is question 120 of BPSC TRE 1.0 (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.