1.

If `tantheta+cottheta=2`, then the vlaue of `tan^(100)theta+cot^(100)theta` isA. 2B. 0C. 1D. `sqrt(3)`

Answer» Correct Answer - 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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