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Complex Trigonometric Substitution

Given that

e ^ jx + e ^ -jx e ^ jx - e ^ -jx
Cos x = ----------------------, Sin x = --------------------
2 2j

using only this information, prove that

Cos^2 x - Sin^2 x = 1 - 2 Sin^2 x

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Solution Summary

A proof for a complex trigonometric substution is provided.

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