Don't get nervous

Algebra Level pending

Let u ˉ \bar u denote the complex conjugate of the complex number u u . If u ˉ = e 2 i x 1 e 2 i x + 1 \bar u = \dfrac{e^{2ix} - 1}{e^{2ix} + 1} , state the value of u u in terms of cot x \cot x .

Clarification : i = 1 i = \sqrt{-1} .

2 cot x i \frac { 2\cot { x } }{ i } i cot x \frac { -i }{ \cot { x } } 1 cot x \frac { 1 }{ \cot { x } } cot x i \cot { x } i

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1 solution

Mohammad Hamdar
Jan 1, 2016

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