Trigonometry: Standard Values MCQ

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Standard ValuesHardQuestion 200020

Question

If tan A = 1/2 and tan B = 1/3, then tan(A + B) equals:

tan(A+B) = (tan A + tan B)/(1 − tan A tan B) = (1/2 + 1/3)/(1 − 1/6) = (5/6)/(5/6) = 1. So A + B = 45°.