# State true or false for the following: The argument of the complex number z = (1+i3)(1+i)(cosθ+isinθ) is 7π12+θ. - Mathematics

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.

• True

• False

#### 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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#### APPEARS IN

NCERT Mathematics Exemplar Class 11
Chapter 5 Complex Numbers and Quadratic Equations
Solved Examples | Q 17.(iv) | Page 85

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