If A,B and C are angles of a triangle, can u help me to prove sin (A+B)=sin c?

1 Answer
Jim G.
Jul 13, 2017

#"see explanation"#

Explanation:

#angleC=180-(A+B)#

#rArrsinC=sin(180-(A+B))#

#"using the "color(blue)"addition formula for sine"#

#•color(white)(x)sin(A-B)=sinAcosB-cosAsinB#

#rArrsin(180-(A+B))#

#=sin180cos(A+B)-cos180sin(A+B)#

#=0-(-1sin(A+B))#

#=sin(A+B)#

#rArrsin(A+B)=sinC#

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