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  9. Q160

SSC Selection Post (Phase XIV) 2025 · Question 160 of 284

If sin 2A = cos(A − 45∘ )​, where 2A is an acute angle, find the value of A.

geometry

  1. A42∘ ​
  2. B45∘ ​Correct
  3. C24 ​
  4. D50 ​

Answer: B. 45∘ ​

Explanation

Given: ∘ ​sin 2A = cos(A − 45 ).​ Formula Used: ∘ ​sin θ = cos(90 − θ).​ Solution: ​cos(90∘ − 2A) = cos(A − 45∘ )​ ∘ ​90 − 2A = A − 45∘ ​ ∘ ​3A = 135 ​ ∘ ​A = 45 ​ Final Answer So the correct answer is (b)

Source: SSC Selection Post (Higher Secondary) Similar Paper (Held on 25 Jul 2025 S2) — Adda247/CareerPower memory-based reconstruction with answers and solutions · memory-based

← Q159View full paper (284 questions)Q161 →

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