Question

If sin\(\theta\)+cosec\(\theta\)=2 then \(sin^n\theta +cosec^n\theta\)=2. How do we get this relation?

Answer 1

Hi ujjwal :)

I think we have need to use mathematical induction.

Answer 2

Ok but that would be proving the relation rather than deriving it.

Answer 3

To prove it by mathematical induction, do we need to put an arbitrary value for \(\theta\)?

Answer 4

Yes. I think I can prove it but it will use some mind lol :D

Answer 5

try this

Answer 6

No. not for \[\theta \] for whole sine. Because sine also exist in cosec.