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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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