Question 138Asked in BPSC TRE 2.0 (2023) Mathematics Class 9-10

If sin θ + cos θ = √2 cos θ, θ ≠ 90°, then tan θ isयदि sin θ + cos θ = √2 cos θ, θ ≠ 90° है, तो tan θ का मान है

यदि sin θ + cos θ = √2 cos θ, θ ≠ 90° है, तो tan θ का मान है
  1. A√2 + 1√2 + 1
  2. B√2√2
  3. C√2 – 1√2 – 1
  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: (C) √2 – 1√2 – 1

Explanation

Divide by cos θ: tan θ + 1 = √2, so tan θ = √2 - 1.cos θ से भाग देने पर tan θ + 1 = √2, अतः tan θ = √2 − 1।

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

This is question 138 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.