## De Moivre’s Theorem application

**Question:**

If , then

equals

(a) -1

(b) 1

(c) -i

(d) i

**Solution.**

Using De Moivre’s theorem,

which in turn equals

Hence, .

More complex stuff to be continued in next blog (pun intended) 🙂

Nalin Pithwa

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This entry was written by

Nalin Pithwa, posted on

July 28, 2015 at 11:23 pm, filed under

calculus,

Cnennai Math Institute Entrance Exam,

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