So usually for mathematical induction after you assume true for any integer k, and then you try and prove for k+1, and sub in the RHS, it's some easy algebra manipulation and they end up being equal. I don't know why but I've been staring at this question for 20 minutes and I can't seem to be...
I don't know why but I keep doing this question but I keep getting the same wrong answer.
The question is:
Using Euler's formula, e^(ix) = cosx + isinx, show that if z=re^(ix), then:
1/z +1/(conjugate of z) = 2cosx/r^2
For some reason, I keep getting LHS = 2cosx/r instead of 2cosx/r^2
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