In triangle XYZ,prove that tan (y+z/2)=cot( x/2)
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In a Triangle,sum of three angles is equal to 180°.
according to question,
here,x+y+z=180°,then y+z=180°-x.
then;tan(y+z/2)=tan(180-x/2)
=tan(90-x/2)
=cot(x/2). {since,tan(90-x)=cot(x)}
Hence Proved.
according to question,
here,x+y+z=180°,then y+z=180°-x.
then;tan(y+z/2)=tan(180-x/2)
=tan(90-x/2)
=cot(x/2). {since,tan(90-x)=cot(x)}
Hence Proved.
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