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if (1+tantheta)(1+tantheta)=2, find the ...

if `(1+tantheta)(1+tantheta)=2`, find the general value of `(theta+phi)`

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`(1+tantheta)(1+tanphi)=2`
`rArr 1+tantheta+tanphi+tanthetatanphi=2`
`rArr tantheta+tanphi=1-tanthetatanphi`
`(tantheta+tanphi)/(1-tanthetatanphi)=1`
`rArr tan(theta+phi)=tanpi/4`
`rArr theta+phi=npi+pi/4`. Ans.
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