SSC CPO 2024 PYQ — Question 107

The correct answer is Option 4 i.e. ${{527} \over 625}$.

Given that

$tan \theta =\frac{7}{24}$

Formula used

tanθ = $\frac{perpendicular}{base}$

sin²θ + cos²θ = 1 

Hence, $cos^2\theta -sin^2\theta$ = 1 - 2sin²θ

sinθ = $\frac{7}{25}$

Substituting the values

1 - 2($\frac{7}{25}$)² 

⇒ 1 - $\frac{98}{625}$

⇒ $\frac{527}{625}$