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