Use Euler?s identity in the following problems. (a)?Find trigonometric identities in terms of sin(?), sin(?), cos(?), cos(?)

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Use Euler?s identity in the following problems.

(a)?Find trigonometric identities in terms of sin(?), sin(?), cos(?), cos(?) for

(i) cos(? + ?) ? ? ?(ii) sin(? + ?)

(b) Is it true that

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(c)?Is it true that

i. (?1)n = cos(?n) for any integer n?

ii. ej0 + ej?/2 + ej? + ej3?/2 = 0 ? (sketch a figure)

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