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    Question

    If tan α = 1/2, tan β = 1/3, then find α +

    β.
    A 0° Correct Answer Incorrect Answer
    B 45° Correct Answer Incorrect Answer
    C 90° Correct Answer Incorrect Answer
    D 135° Correct Answer Incorrect Answer

    Solution

    tan α  = 1/2 and tan ẞ = 1/3  tan (α + β) = [tan a + tan ẞ] / [1 - tan x tan β]  tan (α + β) = [1/2 + 1/3] / [1-1/2 × 1/3]  tan (α + β) = [(3 + 2) /6] / [1-1/6]  tan (α + β) = (5/6)/ (5/6)  tan (α + β) = 1  tan (α + β) = tan 45°  (α + β) = 45°

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