In this problem we will investigate how we can harness the power of Euler's identity in many areas of science. We will start with some warm up exercises and push towards oscillations as we go along. Euler's identity is given by the following equation eto = cos e + i sin ở (7) 1. Using equation 7 show that e-i0 = cos 6 – i sin 0 a Using equation 7 and the result obtained from I , show the followings eie – e-i0 sin 0 and cos 0 = 2i 2

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