Question

Is it right to say that sin (A + B)=sin A+sin B? Justify your answer.​

Answer 1

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S (A+B)=sinA.cosB+cosA.sinB

so , according to above equation

sin (A+B)=sinA+sinB is wrong .

also you justify by

let A=60

B=30

LHS=sin (A+B)=sin(60+30)=sin90=1

RHS=sinA+sinB=sin60+sin30=root3/2+1/2

LHS is not equal to RHS

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