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Euler's formula states that, for any real number x,
eix = cos x + i sin x,
where e is the base of the natural logarithm, i is the imaginary unit, and cos and sin are the trigonometric functions cosine and sine, respectively. The argument x is given in radians.
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What was Eulers motivation towards maths?
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http://en.wikipedia.org/wiki/Euler_angles
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