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Complex number equality problem
The polar form results in : (reitheta)6=re-itheta e6itheta=e-i theta e7itheta=0 cos(7theta) + isin(7theta)=0- v4valour
- Post #5
- Forum: Calculus and Beyond Homework Help
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Complex number equality problem
Hi I have tried r5( cos(5 theta) + i sin(5 theta) ) = r( cos(theta) +i sin(theta) ) but this lead to: cos(5 theta) = cos (- theta) and i sin(5 theta) = i sin(-theta) which is very difficult to solve without a calculator. Using the polar form results in similarly difficult equations. Thanks- v4valour
- Post #4
- Forum: Calculus and Beyond Homework Help
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Complex number equality problem
Homework Statement The problem states that you need to solve the following equation (without a calculator) : z^5 = z̅ Homework Equations z=a+bi and z̅=a-bi The Attempt at a Solution So far I've tried multiplying both sides by z̅: z̅ * z^5 = |z̅|^2...- v4valour
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- Complex Complex number Complex numbers
- Replies: 6
- Forum: Calculus and Beyond Homework Help