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Using Euler's formulas, the cosine of x can be expressed as (e^(ix) + e^(-ix)) divided by what number?

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2

By adding the expressions for e^(ix) and e^(-ix), the imaginary sine terms cancel out, leaving 2 cos(x). Dividing by 2 yields the exponential definition of the cosine function.

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  • According to Euler's formulas, the expression (e^(ix) + e^(-ix)) / n is equal to cos(x) when n is what value?

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