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If 3sec^4 theta +8=10sec^2 theta find ta...

If `3sec^4 theta +8=10sec^2 theta` find `tan theta`.

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`3sec^4theta +8 = 10sec^2theta`
`=>3sec^4theta - 10sec^2theta +8 =0`
`=>3sec^4theta - 6sec^2theta - 4sec^2theta +8 =0`
`=>3sec^2theta(sec^2theta - 2) -4(sec^2theta - 2) = 0`
`=>(3sec^2theta - 4)(sec^2theta - 2) = 0`
`=>sec^2theta = 4/3 or sec^2theta = 2`
`=>1+tan^2theta = 4/3 or 1+tan^2theta = 2`
`=>tan^2theta = 1/3 or tan^2theta = 1`
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