Question

If C = A+B and D= A-B then the value of Sin(A+B) - Sin(A-B) =?​

Answer 1

Answer:

Correct option isC

sin 2

A−sin 2

B

sin(A+B).sin(A−B)

=[sin(A)cos(B)+cos(A)sin(B)][sin(A)cos(B)−cos(A)sin(B)]

=sin 2

Acos 2

A−cos 2

Asin

2 A=sin 2 A[1−sin

2 B]−[1−sin

2 A]sin

2 B

=sin 2

A−sin

2 Asin 2 B−sin

2 B+sin

2

Asin 2

B=sin 2

A−sin 2 B

Hence,theoptionCisthecorrectanswer.