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If tantheta+cottheta=2, then the vlaue o...

If `tantheta+cottheta=2`, then the vlaue of `tan^(100)theta+cot^(100)theta` is

A

2

B

0

C

1

D

`sqrt(3)`

लिखित उत्तर

Verified by Experts

The correct Answer is:
a
`tan theta+cot theta=2`
Put `theta=45^(@)`
1+1=2 (matched)
So, `theta=45^(@)`
`rArrtan^(100)45^(@) +cot^(100)45^(@)`
`rArr1^(100)+1^(100)=2`
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