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SSC CHSL 2023 PYQ — Question 54

SSC CHSL - 09 Aug 2023 - Shift 1 • Quantitative Aptitude • Q54

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If tan A = 12\frac{1}{2}and tan B = 13\frac{1}{3}, then the value of A+B is:

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Correct answer: D

Explanation

The correct answer is option 4 i.e. 45°.

tan(A + B) = (tan A + tan B)/(1 - tanAtanB)

⇒ tan(A + B) = (1/2 + 1/3)/[1 - (1/2)(1/3)] = (5/6)/(1 - 1/6) = (5/6)/(5/6) = 1

⇒ tan(A + B) = 1 = tan 45°

⇒ A + B = 45°

Therefore, the value of A + B is 45°.