If tan θ=4/5 , then secθ is:

If tan $\theta=\frac{4}{5}$ , then secθ is:

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. $\frac{\sqrt{41}}{5}$ .

tan $\theta=\frac{4}{5}$

tan θ = Perpendicular/Base

Hypotenuse² = Perpendicular² + Base²

H² = 4² + 5²

H = $\sqrt{41}$

sec θ = Hypotenuse/Base

= $\frac{\sqrt{41}}{5}$

SSC CHSL 2023 PYQ — Question 75