Question

if a+b =45°,find the value of tan A +tanB+tanAtanB ?​

Answer 1

tan(A + B) = (tan A + tan B)/(1 - tan A tan B), A + B = 45 degrees

tan(A + B) = tan 45 degrees = (tan A + tan B)/( 1 - tan A tan B)

(tan A + tan B)/(1 - tan A tan B) = tan 45 degrees = 1.

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