How can I find c and d if 8 cos (theta - pi / 3)=c sin theta + d cos theta?

1 Answer
May 28, 2015

cos (a - (pi)/3) = cos a.cos (pi/3) + sin a.sin (pi)/3 =

= (1/2)cos a + ((sqrt3)/2)sin a = (sqrt3/2)sin a + (1/2)cos a

8cos (a - pi/3) = 4sqrt3sin a + 4cos a

Answers:: c = 4sqrt3 and d = 4