How do I find the answer to e^i(pi/18) *without* using a calculator. Thanks
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Originally Posted by chancey How do I find the answer to e^i(pi/18) *without* using a calculator. Thanks Use Euler's Formula thus, All you need to do is find what (co)sine of is, you can do this by using the third angle identity, Which reduces to solving a cubic equation.
Originally Posted by ThePerfectHacker Use Euler's Formula thus, All you need to do is find what (co)sine of is, you can do this by using the third angle identity, Which reduces to solving a cubic equation. That doesnt help because sine and cosine are made up of the very expression I am trying to solve. This problem has been bugging me for ages
Originally Posted by chancey That doesnt help because sine and cosine are made up of the very expression I am trying to solve. This problem has been bugging me for ages Since, You have, Maybe time later I will solve this cubic, I predict it will look messy.
Ahh, I see. So there is no formula(s) for solving any complex exponential? What if I had something really messy like, ? And yes, when that cubic equation is solved it gives the correct answer
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