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Question
If |z| = 2 and arg(z) = `pi/4`, then z = ______.
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Solution
If |z| = 2 and arg(z) = `pi/4`, then z = `underlinebb(sqrt(2) (1 + i)`.
Explanation:
z = `|z|(cos pi/4 + isin pi/4)`
= `2(1/sqrt(2) + i 1/sqrt(2))`
= `sqrt(2) (1 + i)`
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