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SSC CPO 2023 PYQ — Question 148

SSC CPO - 05 Oct 2023 - Shift 1 • Quantitative Aptitude • Q148

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If sin A = 2/3, then find the value of (7 - tan A) (3 + cos A).

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Correct answer: A

Explanation

The correct answer is option 1 i.e. 613+1735{{61} \over 3} +{{17} \over 3\sqrt5}.

Given that

If sin A = 2/3 = P/H

As we know,

B = √(9 - 4) = √5

So, tan A = 2/√5

the value of  (7 - tan A) (3 + cos A)

⇒ (7 - (2/√5)) (3 + (√5/3))

⇒ ((7√5 - 2)/√5) ((9 + √5)/3)

⇒ (63√5 - 18 + 35 - 2√5)/(3√5)

⇒ (17 + 61√5)/3√5

⇒ 613+1735{{61} \over 3} +{{17} \over 3\sqrt5}