Does anyone know how to prove this? Let be complex number, which modulo is 1. Prove that it can be expressed in the form: where t is real number
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Originally Posted by rain1 Does anyone know how to prove this? Let be complex number, which modulo is 1. Prove that it can be expressed in the form: where t is real number I doubt that is true. Now suppose that . Try to find a that works.
Originally Posted by Plato I doubt that is true. Now suppose that . Try to find a that works. Why would you let z be that value? Your told |z| = 1... Going on from what you have put, if , all that is left is to show its modulus is 1.
Thanks.
Originally Posted by Prove It Why would you let z be that value? Your told |z| = 1... Yes, I did miss that. You see I never gotten use to using modulo for absolute value (metric).
If Z=(1 +ti)/(1-ti) then |z| = |1+ti|/|1-ti|= (1+t^2)/(1+t^2)=1 as simple as such Minoas
Originally Posted by Plato Yes, I did miss that. You see I never gotten use to using modulo for absolute value (metric). Perhaps you're more used to the term "modulus"?
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