SSC CGL 2022 PYQ — Question 71

SSC CGL - 18 April 2022 - Shift 1 • Quantitative Aptitude • Q71

If A = 60°, what is the value of:

8 cosA+7 secA−tan2A10sinA2\dfrac{8\ cos A + 7\ sec A - tan^2A}{10sin\frac{A}{2}} = ?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 3

Calculations:

⇒ 8 cosA+7 secA−tan2A10sinA2\dfrac{8\ cos A + 7\ sec A - tan^2A}{10sin\frac{A}{2}}

⇒ 8×12+7×2−(3)210×12\dfrac{8\times\frac{1}{2} + 7 \times 2 - (\sqrt3)^2}{10 \times \frac{1}{2}}

⇒ 4+14−35=155=3\dfrac{4 + 14 - 3}{5} = \dfrac{15}{5} = 3