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SSC CGL 2023 PYQ — Question 68

SSC CGL - 14 July 2023 - Shift 3 • Quantitative Aptitude • Q68

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What is the value of sin30° + cos30° + tan30°?

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Correct answer: A

Explanation

The correct answer is option 1 i.e. 5+323\frac{5 + \sqrt 3}{2\sqrt 3}.

Given that

The value of sin30° + cos30° + tan30°

⇒ sin30° + cos30° + tan30°

⇒ (1/2) + (√3/2) + (1/√3)

⇒ (1 + √3)/2 + (1/√3)

⇒ [(√3 + 3) + 2]/(2√3)

⇒ 5+323\frac{5 + \sqrt 3}{2\sqrt 3}