2020 ASRJC J2 MYCT Q5
Timothy Gan
2020 ASRJC J2 MYCT Q5
(b)
Express $2{{\text{e}}^{\text{i}\left( \frac{\pi }{4} \right)}}-2{{\text{e}}^{\text{i}\left( \frac{\pi }{3} \right)}}$ in the form $r{{\text{e}}^{\text{i}\left( k\pi \right)}}$, where $r$ is a positive real constant in exact trigonometric form and $k$ is an exact constant such that $-1<k\le 1$.
[3]
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