# Exponential and Trigonometric Proof

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Why is e^ik(Pi) = e-ik(Pi)?

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I was asked a, simple, question I can't answer why is e^ik(Pi) = e-ik(Pi)

or how does on show, prove?

Remember

So

Based on the trig relationship

since

When k is integer, we know that

Otherwise, since

So when k is integer,

Hence,

Â© BrainMass Inc. brainmass.com October 5, 2022, 2:13 am ad1c9bdddf>https://brainmass.com/math/trigonometry/exponential-trigonometric-proof-153909