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If `tan theta + cot theta` = 2 find `sin theta` ?

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If `tan theta + cot theta` = 2 find `sin theta` ?
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`tantheta + cot theta = 2`
`=>tan theta+1/tan theta = 2`
`=>tan^2theta -2tan theta +1 = 0`
`=>(tantheta - 1)^2 = 0`
`=>tan theta = 1`
`=>theta = 45^@`
`:. sin theta = sin 45^2 = 1/sqrt2.`
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