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Prove (tantheta+2)(2tantheta+1)=5tanthet...

Prove `(tantheta+2)(2tantheta+1)=5tantheta+2sec^2theta.`

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L.H.S. `=(tantheta+2)(2tantheta+1)`
`=tantheta(2tantheta+1)+2(2tantheta+1)`
`=2tantheta^(2)+tantheta+4tantheta+2=5tantheta+2+2tan^(2)theta`
`=5tantheta+2(1+tan^(2)theta)=5tantheta+2sec^(2)theta=R.H.S.`
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