SSC CGL 2021 PYQ — Question 67

The correct answer is Option 4 i.e 2.

One can solve such types of questions by directly putting the value of trigonometric ratios.

  $\frac34$ cot² 30° + cos²30° - 3cosec²60° + tan²60° = $\frac34$ × $(\sqrt 3)^2 + (\frac{\sqrt3}{2})^2 - 3 \times(\frac{2}{\sqrt3})^2 + (\sqrt3)^2$

⇒ 9/4 + 3/4 - 4 + 3

⇒ 3 - 4 + 3

⇒ 2.