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If A= tan 60 tan 42 and B=cot 60 cot 78,then A= If A= tan 60 tan 42 and B=cot 60 cot 78,then A=
Dear student,Please find the solution belowA=tan6°tan42° and B=cot66°cot78°A/B=tan6°tan42°tan66°tan78°Using tan(60-x)tanxtan(60+x)=tan3x for x=18° we gettan42°tan18°tan78°=tan54°...(1)for x=6° we gettan54°tan6°tan66°=tan18°...(2)Eliminating tan54°between (1) and (2)we gettan6°tan42°tan66°tan78°=1Hence A/B=1.
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