SSC CPO 2024 PYQ — Question 150

The correct answer is option 4 i.e. tan58°.

 ⇒ $\frac{cos13° + sin13°}{cos13° - sin13°}$

Divide by cos 13 in numerator and denominator

 ⇒$​​​​\frac{1 + tan 13}{1 - tan 13}$

we can write this as :-

⇒ $\frac{tan 45 + tan 13}{1 - tan 45tan 13}$

 ⇒ tan(45 + 13)°

 ⇒ tan 58°