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  • If (x-y)= 45 degree , then (1+tan x)(1+tan y ) equals

If (x-y)= 45 degree , then (1+tan x)(1+tan y ) equals

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Solution: We have ,

\ x-y=45^circ\ \Rightarrow y=x-45^circ\ \ Rightarrow tany=(tanx-1)/1+tanx

Adding 1 on both side , we get

\ Rightarrow (1+tany)=2tanx/1+tanx\ \Rightarrow (1+tanx)(1+tany)=2tanx

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Deependra Verma

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