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SSC CPO 2024 PYQ — Question 114

SSC CPO - 28 June 2024 - Shift 3 • Quantitative Aptitude • Q114

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If sin (x + y) = 1 and cos (x − y) = 32{\sqrt3}\over2, find the value of ‘y’.

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Correct answer: B

Explanation

The correct answer is option 2 i.e. 30°.

sin (x + y) = 1

⇒ sin (x + y) = sin 90°

⇒ x + y = 90°

cos (x − y) = 32{\sqrt3}\over2 

⇒ cos (x − y) = cos 30°

⇒ x − y = 30°

⇒ 2 x = 120

⇒ x = 60°

⇒ 60°− y = 30°

⇒ Y =  30°