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Complex numbers assessment

Total questions: 12

Worksheet time: 3600secs

Name
Class
Date
1.

(3+2i)+(9-3i). Write in simplest form.

4 lines
2.

(-2+4i)-(-4+4i). Write in simplest form.

4 lines
3.

(-2+3i)(4-2i). Write in simplest form.

4 lines
4.

(6-4i)(6+4i). Write in simplest form.

4 lines
5.

 1−3i1+i\frac{1-3i}{1+i}  Write in simplest form.

4 lines
6.

 14+5i3+2i\frac{14+5i}{3+2i}  Write in simplest form.

4 lines
7.

 3 cis 150°3\ cis\ 150\degree  Write in rectangular form.

4 lines
8.

 −3+3i3-3+3i\sqrt{3}  Write in triangular form.

4 lines
9.

2+5i Write in triangular form.

4 lines
10.

 4(cos⁡ 315°+i sin⁡ 315°)2(cos⁡90°+i sin⁡90°) \frac{4\left(\cos\ 315\degree+i\ \sin\ 315\degree\right)}{2\left(\cos90\degree+i\ \sin90\degree\right)\ }  Write in rectangular form.

4 lines
11.

 5(cos⁡ 145°+i sin⁡ 145°)×7(cos⁡ 155°+i sin⁡ 155)5\left(\cos\ 145\degree+i\ \sin\ 145\degree\right)\times7\left(\cos\ 155\degree+i\ \sin\ 155\right)  Write in rectangular form.

4 lines
12.

 8cis 164°6cis 29°\frac{8cis\ 164\degree}{6cis\ 29\degree}  Write in rectangular form.

4 lines