Let z = cos α + i sin α . Evaluate | z ^ 100| .?

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2007-02-22 07:36:08 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

|z| = sqrt(cos²a + sin²a) = 1.

Therefore |z^100| = 1.

2007-02-22 07:41:34 · answer #1 · answered by Anonymous · 0⤊ 0⤋

Easy. It's Cos(100a) + i Sin(100a). There you go. Check de Moivre's formula.

Addendum: Ah, benoit, maybe you should reconsider?

2007-02-22 07:41:32 · answer #2 · answered by Scythian1950 7 · 0⤊ 0⤋

google for de Moivre's formula

2007-02-22 07:39:45 · answer #3 · answered by creepy_mitch 2 · 0⤊ 0⤋