Write the expression in terms of sine only 3 sin 6x 3sqrt3c

Write the expression in terms of sine only. 3 sin 6x + 3sqrt3cos 6x

Solution

3sin(6pix) + 3sqrt(3)cos(6pix)

3[ sin(6pix) + sqrt(3)cos(6pix) ]

Multiply and divide equation by 2:

3*2[sin(6pix)/2 + cos(6pix)sqrt(3)/2 ]

6[sin(6pix)cos(pi/3) + sin(pi/3)cos(6pix) ]

6[sin( 6pix + pi/3) ]

6sin(6pix +pi/3)