Question

cos 27 + sin 27/ cos 27- sin 27 = tan 72

Answer 1

cos27 + sin27 / cos27 - sin27 = tan72

LHS :  cos27 + sin27 / cos27 - sin27

dividing throughtout by cos27

we get ,

           1 + tan27 / 1 - tan27 * 1

           tan45 + tan27 / 1 - tan27. tan45                           [ tan45 = 1 ]

which is of the form TAN ( A + B ) = TanA + TanB / 1 - TanA TanB

Therefore,    tan ( 45 +27 ) = tan 72

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Answer 2

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