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Prove tan 75-tan 30-tan 75 tan 30=1

tan 45 = tan (75 - 30)
    1    = (tan 75 - tan 30) / (1 + tan 75 tan 30)
1 + tan 75 tan 30 = tan 75 - tan 30
i.e, tan 75 - tan 30-  tan 75 tan 30 = 1



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