Question

i) If tan A = 1/2 and tan B =1/3,
then prove thatA+B= pai/4.
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Answer 1

Answer:

tan(A + B) = (tanA + tanB)/(1 - tanAtanB)

tan(A + B) = (1/2 + 1/3)/(1 - 1/2×1/3)

= (5/6)/(1 - 1/6)

= 5/6 / 5/6

= 5/6 × 6/5

= 1

A + B = 45 degrees