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Question
State true or false for the following:
The argument of the complex number z = `(1 + i sqrt(3))(1 + i)(cos theta + i sin theta)` is `(7pi)/12 + theta`.
Options
True
False
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Solution
This statement is True.
Explanation:
arg(z) = arg`(1 + i sqrt(3))` + arg(1 + i) + arg(cosθ + isinθ)
`pi/3 + pi/4 + theta`
= `(7pi)/12 + theta`
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