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Prove that (1-cos a +sin a)/(1+cos a +sin a) = tan a/2​

Answer»

s²(a/2)-sin²(a/2)Sina=2SIN(a/2)COS(a/2)1-cos²(a/2)=sin²(a/2)1-sin²(a/2)=cos²(a/2)by substitutingLHS=(1-(cos²(a/2)-sin²(a/2))+2sin(a/2)cos(a/2))/(1+cos²(a/2)-sin²(a/2)=(2sin²(a/2)+2sin(a/2)cos(a/2))/(2cos²(a/2)+2sin(a/2)cos(a/2))SIN(a/2)(sin(a/2)+cos(a/2))/(cos(a/2)(sin(a/2)+cos(a/2))=TAN(a/2)


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