Question

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

Answer 1

Answer:

no it not right to say this

sin(A+B)=sinA cosB+sinB cosA

it is the correct answer

Answer 2

ꋬꋊꇙꅐꏂꋪ

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

So , according to above equation

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

Justification:

Let A=60 ∘

B=30∘

LHS=sin(A+B)=sin(60∘+30∘ )=sin90∘ =1

RHS=sinA+sinB=sin60 ∘ +sin30 ∘ = 2/3 + 2/1

Hence, LHS=RHS.