in Triange ABC, prove cos (a+b) /2=sin(c/2)
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Step-by-step explanation:
cos(a+b) /2=sin(c/2)
On using the sine rule we know,
On using the sine rule we know,a/sin A = b/sin B = c/sin C = k
a/sinA=k
a=KsinA
b=ksinB
c=KsinC
now
a+b=k(sinA+sinB)
see pictures
last step
cos(A-B/2) /sin(c/2)
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