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MCQ

True or False

**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`

Concept: Algebraic Operations of Complex Numbers

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