in triangle ABC sin A+B/2= cos c/2
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A+B+C=180°[The sum of a triangle is 180]
A+B=180-C
A+B/2=180-C/2
=>180÷2-C/2
=>(90-C/2)
Substitution,
sin(90-C/2)
Since,
sin(90-A)=cos A
cos C/2
LHS=RHS
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