prove (1+sin2x-cos2x)/(1+sin 2x+cos 2x) = tan x 

Dear Student, 1+sin2x-cos2x1+sin2x+cos2x=sin2x+1-cos2xsin2x+1+cos2x =2sinxcosx+2sin2x2sinxcosx+2cos2x  Using the formula sin2x = 2sinxcosx and cos2x = 1-2sin2x=2cos2x-1=2sinx2cosx×cosx+sinxsinx+cosx= tanx Regards

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