Question

Write the following as a single sine or cosine function of an angle

Answer 1

The following as a single sine function of an angle:

`12 sin3\theta \cos3\theta cos 6\theta =3* \sin12\theta`

Explanation:

Given :
`12 sin3\theta \cos3\theta cos 6\theta`

Using identity:

`Sin2x=2* \sin x \cos x`

`=6* 2* sin3\theta \cos3\theta \cos 6\theta`

`=6* (2* sin3\theta \cos3\theta) \cos 6\theta`

`=6* \sin 6\theta \cos 6\theta`

`=3* (2* \sin 6\theta \cos 6\theta)`

`=3* \sin12\theta`

The following as a single sine function of an angle:

`12 sin3\theta \cos3\theta cos 6\theta =3* \sin12\theta`