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Prove that : sec^(4)theta-tan^(4)theta=1...

Prove that : `sec^(4)theta-tan^(4)theta=1+2tan^(2)theta`

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L.H.S . `=sec^(4)theta-tan ^(4)theta=(sec^(2)theta)^(2)-(tan^(2)theta)^(2)`
`=(sec^(2)theta+tan^(2)theta)(sec^(2)theta-tan^2theta)=(1+tan^(2)theta+tan^(2)theta)(1+tan^(2)theta-tan^(2)theta)`
`=(1+2)tan^(2)theta)(1)=1+2tan^(2)theta=R.H.S`
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