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sudarshan gupta Grade: Upto college level
        If A+B+C=0 find maximum value of sinA+sinB+sinC
7 years ago

Answers : (1)

Vinay Arya
37 Points
										

Hello Sudarshan


sinA + sinB +sinC=2sin[(A+B)/2].cos[(A-B)/2]+2sin(C/2).cos(C/2)


                      A+B+C=0=>A+B=-C


Therefore


             sinA + sinB +sinC=2sin(C/2).cos[(A+B)/2]-2Sin(C/2).cos[(A-B)/2]


                                     =2sin(C/2).{cos[(A+B)/2]-cos[(A-B)/2}


                                     =2sin(A/2).sin(B/2).sin(C/2)

7 years ago
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