Home /
Expert Answers /
Calculus /
a-write-the-complex-number-3-sqrt-2-3-sqrt-2-i-in-exponential-form-b-use-the-formula-cos-the-pa885

(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.