The value of tan 9° – tan 27° – tan 63° + tan 810, is

The value of tan 9° - tan 27° - tan 63° + tan 810, is

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    Solution:

    We have,

    tan9tan27tan63+tan81=tan9+tan81tan27+tan63=1cos9cos811cos27cos63=1sin9cos91sin27cos27=2sin182sin54=2sin54sin18sin54sin18=22cos36sin18sin18cos36=4

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