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SSC CPO 2020 PYQ — Question 149

SSC CPO - 23 Nov 2020 - Shift 2 • Quantitative Aptitude • Q149

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If sec 3x = cosec ( 3x - 45°) , where 3x is an acute angle , then x is equal to :

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Correct answer: D

Explanation

The correct answer is option 4 i.e. 22.5°

sec 3x = cosec ( 3x - 45°)

cosec(90° - θ\theta) = secθ\theta

⇒ Cosec (90° - 3x) = cosec ( 3x - 45°)

⇒ 90° - 3x = 3x - 45°

⇒ 6x = 135°

⇒ x = 22.5°