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