SSC CHSL 2020 PYQ — Question 68

SSC CHSL - 20th October 2020 - Shift 1 • Quantitative Aptitude • Q68

If Cos 3θ = Sin (θ - 34o), then the value of θ as an acute angle is:

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Correct answer: C

Explanation

The correct answer is option 3 i.e 31o

⇒ Cos 3θ = Sin (θ - 34o)

⇒ Cos 3θ = Cos (90o - θ + 34o)

⇒ 3θ = 124o - θ ± 2nπ

For acute angle n would be zero

⇒ 4θ = 124o

⇒ θ = 31o