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(Solved): (a) Write the complex number -3\sqrt(2)+3\sqrt(2)i in exponential form. (b) Use the formula cos\the ...



(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.



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