If sin θ + cosec θ = sqrt5 , then the value of sin³ θ + cosec³ θ is:

SSC Selection Post 2024 PYQ — Question 64

If sin $\theta$ + cosec $\theta$ = $\sqrt5$ , then the value of sin³ $\theta$ + cosec³ $\theta$ is:

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. $2\sqrt5$ .

sin³ $\theta$ + cosec³ $\theta$ = ( $\sqrt5$ )³ - $3\sqrt5$ = $2\sqrt5$