(a) Write the complex number
-3\sqrt(2)+3\sqrt(2)i
in exponential form. (b) Use the formula
cos\theta =(1)/(2)(e^(i\theta )+e^(-i\theta ))
to obtain the identity
cos^(6)\theta =(1)/(32)(cos(6\theta )+6cos(4\theta )+15cos(2\theta )+10).
Show the key steps in your working.