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If sinx+cosecx=2, then, for all n in N, ...

If `sinx+cosecx=2`, then, for all `n in N`, the value of: `sin^nx+cosec^nx=` (a) `2` (b) `2^n` (c) `2^(n-1)` (d) `2^(n-2)`

A

2

B

`2^n`

C

`2^n-1`

D

`2^n-2`

Text Solution

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The correct Answer is:
A
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