First slide
Compound angles
Question

Suppose x and y are real numbers such that tan x + tan y = 42 and cot x + cot y = 49. Then the value of tan(x + y) is __________ . 

Moderate
Solution

cotx+coty=49or 1tanx+1tany=49or tany+tanxtanx tany=49or tanx tany=tanx+tany49=4249=67tan(x+y)=421(6/7)=421/7=294

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