SarkariPYQ

SSC CGL 2021 PYQ — Question 52

SSC CGL - 16 Aug 2021 - Shift 3 • Quantitative Aptitude • Q52

Back to paper

The value of  tan230+sin290+cot260+cos245sin230sin60cos30−cos60sin30tan^230 + sin^290 + cot^260 +cos^245 sin^230 \over sin60 cos30 - cos60sin30 is:

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 4312\frac{43}{12}

Concept used :

Trigonometric ratios

Calculations :

⇒ 13+1+13+12×1432×32−14\frac{\frac{1}{3} + 1 + \frac{1}{3} + \frac{1}{2} \times \frac{1}{4} }{\frac{\sqrt3}{2}\times \frac{\sqrt3}{2} - \frac{1}{4}}

⇒ 432412\frac{\frac{43}{24}}{\frac{1}{2}}

⇒ 43/12