SSC CPO 2024 PYQ — Question 135

The correct answer is option 1 i.e. $1\over{\sqrt3}$.

sin 2A = 2sinAcosA

cos² A - sin² A = cos 2A

According to the given question,

$2 \cos15° \sin15°\over \cos^2 15°-\ \sin^2 15°$

⇒ $\sin\ ( 2 \times 15°)\over \cos\ (2 \times 15°)$ 

⇒ $\sin 30° \over \cos 30°$

⇒ ${1 \over 2} \over {\sqrt{3} \over 2}$ = $1\over{\sqrt3}$

Hence the value of the given expression is $1\over{\sqrt3}$.