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If sec^2theta=2+2tantheta, find tantheta...

If `sec^2theta=2+2tantheta`, find `tantheta`.

Text Solution

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`sec^2theta = 2+2tantheta`
`=>1+tan^2theta = 2+2tantheta`
`=>tan^2theta - 2tantheta -1 = 0`
`=>tan theta = (-(-2)+-sqrt((-2)^2-4(-1)(1)))/2 = (2+-2sqrt2)/2`
`:. tan theta = 1+-sqrt2.`
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