If tan A = 2/5 find the value of (sec² A)/(cosec² A) .

If tan A = $\frac{2}{5}$ find the value of $\frac{sec^2 A}{cosec^2 A}$ .

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. $\frac{4}{25}$

Given that

If tan A = $\frac{2}{5}$

According to the question

⇒ $\frac{sec^2 A}{cosec^2 A}$

⇒ $\frac{sin^2 A}{cos^2 A}$

⇒ tan²A = 4/25

SSC CPO 2023 PYQ — Question 147