Question

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

Answer 1

$\huge \star \underline \pink{answer}$

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

Justification-

sin(A+b) = sin a + sin b

assuming a=60 and b=30

LHS - sin(a+b) = sin {60+30} = sin 90=1

RHS -sin a+sin b = sin60+sin30= 1/√3+1/2=√3+2/2

LHS is not equal to RHs

hence the. answer is false