Write the given expression as a product of two trigonometric functions of different frequencies. sin 7t-sin 6t

1 Answers

Best Answer

Using trigonometric identities
sin A-sin B=2cos ((A+B)/(2))sin ((A-B)/(2))
sin 7t-sin 6t=2cos ((7t+6t)/(2))sin ((7t-6t)/(2))=2cos((13t)/(2))sin ((t)/(2))
=2sin ((t)/(2))cos((13t)/(2))
Result:
=2sin ((t)/(2))cos((13t)/(2))