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Precalculus

Course: Precalculus > Unit 3

Lesson 5: Modulus (absolute value) and argument (angle) of complex numbers
Math
Precalculus
Complex numbers
Modulus (absolute value) and argument (angle) of complex numbers
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Complex numbers from absolute value & angle

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Problem

A complex number z, start subscript, 1, end subscript has a magnitude vertical bar, z, start subscript, 1, end subscript, vertical bar, equals, 13 and an angle theta, start subscript, 1, end subscript, equals, 315, degrees.
Express z, start subscript, 1, end subscript in rectangular form, as z, start subscript, 1, end subscript, equals, a, plus, b, i.
Express a, plus, b, i in exact terms.
z, start subscript, 1, end subscript, equals
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