Correct option is D
Given:
sinθ−cosecθ=√2, To find ;
sin3θ−cosec3θ Formula Used:
As we know that if
x−x1=k than, x3−x31=K3+3K
sinθ=cosecθ1
Solution:
sinθ−cosecθ=2 sinθ−sinθ1=2 let
sinθ=x than
Using the given formula
sin3θ−cosec3θ=(2)3+3×2 =22+32 =52