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tan9-tan27-tan63+tan81=4...

`tan9-tan27-tan63+tan81=4`

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LHS
`tan9-tan27-tan63+tan81`
`tan(90-theta)=cottheta`
`tan90-tan27-cot27-tan(90-27)+tan(90-9)`
`tan9-tan27-cot27+cot9`
`tan9+cot9-(tan27+cot27)`
`sin9/cos9+cos9/sin9-[sin27/cos27+cos27/sin27]`
`(sin^2 9+cos^2 9)/sin9cos9-[(sin^2 27+cos^2 27)/(cos27sin27)]`
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