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Prove that(cos9^@+sin9^@)/(cos9^@-sin9^@)=tan54^@

Answer»

SOLUTION :R.H.S.`=tan54^@=TAN(45^@+9^@)=(TAN45^@+tan9^@)/(1-tan45^@tan9^@)=(1+sin9^@/cos9^@)/(1+sin9^@/cos9^@)=(cos9^@+sin9^@)/(cos9^@-sin9^@)`=L.H.S


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