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Popular >

simplify |e^i|

Solution

simplify

e^{i}

Solution

cos^{2} (1) + sin^{2} (1)

+1

Decimal Notation

1

Solution steps

e^{i}

Apply imaginary number rule:

e^{ia} = cos (a) + i sin (a)

= ∣ cos (1) + i sin (1) ∣

∣ a + bi ∣ = (a + bi) (a - bi) = a^{2} + b^{2}

With

a = cos (1), b = sin (1)

= cos^{2} (1) + sin^{2} (1)

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Frequently Asked Questions (FAQ)

What is |e^i| ?
The solution to |e^i| is sqrt(cos^2(1)+sin^2(1))