SSC CHSL 2023 PYQ — Question 58

The correct answer is option 4 i.e. 4³.

sin45° = $1 \over \sqrt{2}$

cosec30° = 2

Given, αsin45° = βcosec30°

⇒ α × $1 \over \sqrt{2}$ = β × 2

⇒ α/β = $2\sqrt{2}$

⇒ α⁴/β⁴ = ($2\sqrt{2}$)⁴

⇒ α⁴/β⁴ = 64

⇒ α⁴/β⁴ = 4³