SSC CHSL 2023 PYQ — Question 63

The correct answer is option 3 i.e. $\mathbf{\frac{23}{17}}$.

tan F = 15/8,

Let sin F = 15k and cos F = 8k

Using sin² F + cos² F = 1, we get: 225k² + 64k² = 1, so 289k² = 1, hence k = 1/17

Therefore, sin F = 15/17 and cos F = 8/17

Hence, sin F + cos F = 15/17 + 8/17 = 23/17