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 u justify by

Let a=60

b=30

L.H.S=sin

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

R.H.S=sinA+sinB=sin60+sin30

L.hs is not equal to R.hs


Hope it helps uu!!!❤

Answer 2

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