SSC CHSL 2024 PYQ — Question 72

The correct answer is option 4 i.e. $\frac{24}{25}$ and $\frac{7}{24}$.

sinθ = 7/25

θ is in the first quadrant (where all trigonometric functions are positive)

We can use the Pythagorean identity: sin²θ + cos²θ = 1

Substitute the given value of sinθ: (7/25)² + cos²θ = 1

⇒ 49/625 + cos²θ = 1

⇒ cos²θ = 1 - 49/625

⇒ cos²θ = 576/625

⇒ cosθ = √(576/625)

⇒ cosθ = 24/25

⇒ tanθ = sinθ / cosθ

⇒ Substitute the values of sinθ and cosθ: tanθ = (7/25) / (24/25)

⇒ tanθ = 7/24

Therefore, cosθ = 24/25 and tanθ = 7/24.