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If Tan A*Tan B = 3 then what would be the value of Cos (A+B) / Cos (A-B)?

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If Tan A*Tan B = 3 then what would be the value of Cos (A+B) / Cos (A-B)?
posted Dec 6, 2015 by anonymous

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2 Answers

+3 votes
Best answer


answer Dec 6, 2015 by Hasan Raza
+2 votes

The answer is -1/2.
Tan A=Sin A/Cos A
Tan B=Sin B/Cos B
Tan A*Tan B= SinASinB/CosACosB=3
=CosACosB - 3CosACosB
= -2CosACosB
Cos(A-B)=CosACosB + SinASinB
=CosACosB + 3CosACosB
Cos(A+B)/Cos(A-B) = -2CosACosB/4CosACosB
= -1/2.

answer Dec 6, 2015 by Timilehin Oki

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