Exponential (Radians) to Rectangular Form (Level 1)

This topic focuses on practicing the conversion of complex numbers from exponential form (expressed in radians) to rectangular form. Each problem presents a complex number in exponential notation, for which students are tasked with finding the equivalent rectangular form. Multiple choice answers accompany each question, providing various options for the rectangular forms from which to choose. This involves understanding and applying the Euler’s formula, a crucial concept in complex numbers.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Exponential (Radians) to Rectangular Form

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


Find the rectangular form of this complex number that is in exponential form

5e0.3πi5e^{0.3 \pi i}

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Complex Numbers - Exponential (Radians) to Rectangular Form Worksheet

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Math worksheet on 'Complex Numbers - Exponential (Radians) to Rectangular Form (Level 1)'. Part of a broader unit on 'Complex Numbers' Learn online: app.mobius.academy/math/units/complex_numbers/
1
Find the rectangular form of this complex number that is in exponential form
A LaTex expression showing 6.4e to the power of 1.3 Pi i
a A LaTex expression showing 4 - 6i
b A LaTex expression showing 4 - 5i
c A LaTex expression showing 1 - 7i
d A LaTex expression showing -4 - 5i
e A LaTex expression showing 3 - 7i
f A LaTex expression showing 4 - 7i
2
Find the rectangular form of this complex number that is in exponential form
A LaTex expression showing 6.3e to the power of 1.6 Pi i
a A LaTex expression showing -2 - 3i
b A LaTex expression showing 2 - 6i
c A LaTex expression showing 2 - 5i
d A LaTex expression showing 2 - 4i
e A LaTex expression showing -3 - 3i
f A LaTex expression showing -2 - 4i
3
Find the rectangular form of this complex number that is in exponential form
A LaTex expression showing 5e to the power of 1.2 Pi i
a A LaTex expression showing -3 - 4i
b A LaTex expression showing -4 - 5i
c A LaTex expression showing -4 - 6i
d A LaTex expression showing -4 - 2i
e A LaTex expression showing -4 - 3i
f A LaTex expression showing -4 - 4i
4
Find the rectangular form of this complex number that is in exponential form
A LaTex expression showing 6.7e to the power of 1.4 Pi i
a A LaTex expression showing -4 + 8i
b A LaTex expression showing 3 - 8i
c A LaTex expression showing 3 - 6i
d A LaTex expression showing 3 - 7i
e A LaTex expression showing -3 + 8i
f A LaTex expression showing -3 - 6i
5
Find the rectangular form of this complex number that is in exponential form
A LaTex expression showing 5e to the power of 0.2 Pi i
a A LaTex expression showing 4 + 1i
b A LaTex expression showing -6 + 1i
c A LaTex expression showing 6 - 1i
d A LaTex expression showing 4 - 1i
e A LaTex expression showing 6 + 1i
f A LaTex expression showing 4 + 3i
6
Find the rectangular form of this complex number that is in exponential form
A LaTex expression showing 6.4e to the power of 0.2 Pi i
a A LaTex expression showing 2 + 1i
b A LaTex expression showing 2 + 4i
c A LaTex expression showing 4 + 4i
d A LaTex expression showing 2 + 3i
e A LaTex expression showing 2 + 2i
f A LaTex expression showing 5 + 4i
7
Find the rectangular form of this complex number that is in exponential form
A LaTex expression showing 4.2e to the power of 1.8 Pi i
a A LaTex expression showing 3 - 3i
b A LaTex expression showing 5 + 1i
c A LaTex expression showing 1 - 1i
d A LaTex expression showing 4 + 1i
e A LaTex expression showing 3 + 1i
f A LaTex expression showing 3 - 1i