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If sin theta + cosec theta = 2, then the...

If `sin theta + cosec theta = 2`, then the value of `sin^7theta + cosec^7 theta` is

A

2

B

`1/2`

C

1

D

0

Text Solution

Verified by Experts

The correct Answer is:
A

`sin theta + cosec theta = 2 implies sin theta = cosec theta = 1 `
`therefore sin^5 theta + cos^5 theta = 1^5 + 1^5 = 2`
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