Question
In a △ ABC right-angled at C, if tan A = √3, then
the value of sinA cosB cot(A + B) isSolution
Given tan A = 3 tan A = √3, so A = 60°, B =30° (as A + B = 90° in a right triangle). sinA cosB cot(A + B) = sin 60° cos30° cot90° = √3/2 ⋅ √3/2. 0 = 0
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