Question

is sin (a+b) = sin a + sin b?​

Answer 1

Answer:

Sin(A+B)=sinA+Sin B

LetA=30and B=60°

Sin(30°+60°)=Sin30°+60°

Sin90°=1upon2+ 3 upon 2

1=one upon two+3 upon 2

1 is not equal to1+ 3 upon 2

L.H.S is not equal to R.H.S

Therefore Sin (A+B) is not equal to Sin A+ SinB

Step-by-step explanation:

Consider,

Sin(A+B)=SinA+SinB

Let A=0° and B =30°

Sin(0°+30°)=Sin A+SinB

Sin30°=Sin0°+Sin30°

Sin=30°=0+1/2

1/2=1/2

L.H.S=R.H.S

Therefore Sin(A+B)=SinA+SinB

Therefore Sin(A+B)=SinA+SinB when either A is 0° or B is 0°.