Question

Is it right to say that sin(A+B)=sinA+sinB?justify your answer

Answer 1

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

Answer 2

Given formula Sin(A+B)=SinA+SinB

Actual formula Sin(A+B)=SinA*CosB+CosA*SinB

Given formula is wrong

JUSTIFICATION:-Let A=60° and B=30°

Sin(A+B)=SinA+SinB

Sin(60°+30°)=Sin60°+Sin30°

Sin90°=√3/2+1/2

1 is not equal to (√3+1)/2

HENCE JUSTIFIED