Question

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

Answer 1

Answer:

$Heya \: \: Mate$

Nope

Given formula

• Sin(A+B) = SinA+SinB____(1)

Actual formula

• Sin(A+B) = SinA*CosB+CosA*SinB___(2)

Given formula is wrong

JUSTIFICATION:-

• Let A=60° and B=30°

From eq(1) and (2)

• Sin(A+B)=SinA+SinB

• Sin(60°+30°)=Sin60°+Sin30°

• Sin90°=√3/2+1/2

• LHS ≠ RHS

• 1 is not equal to (√3+1)/2

HENCE JUSTIFIED

Hope it helps dear

Answer 2

Answer:

yes

Step-by-step explanation:

For example , consider A=90, B=0

Sin(A+B) = Sin A+Sin B

LHS :

Sin (A+B) = Sin ( 90+0)

= sin(90)

= 1

RHS :

Sin A +Sin B = Sin 90 + Sin 0

= 1 + 0

= 1

LHS = RHS

so, Sin (A+B) = Sin A + Sin B