Chapter 1
Complex Numbers II: Polar and Euler Form0/42 complete Β· 0%
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Complex Numbers II: Polar and Euler Form

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Chapter 1 Β· Algebra
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EasyMediumDifficult
1.Complex Numbers
Easy
Cartesian to polar
6 marks
Cartesian to polar
6 marks
Complex Numbers II: Polar and Euler Form question 1: Cartesian to polar
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2.Complex Numbers
Easy
Polar to Cartesian
5 marks
Polar to Cartesian
5 marks
Complex Numbers II: Polar and Euler Form question 2: Polar to Cartesian
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3.Complex Numbers
Easy
Euler form
5 marks
Euler form
5 marks
Complex Numbers II: Polar and Euler Form question 3: Euler form
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4.Complex Numbers
Easy
Multiplying in polar form
6 marks
Multiplying in polar form
6 marks
Complex Numbers II: Polar and Euler Form question 4: Multiplying in polar form
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5.Complex Numbers
Easy
Dividing in Euler form
6 marks
Dividing in Euler form
6 marks
Complex Numbers II: Polar and Euler Form question 5: Dividing in Euler form
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6.Complex Numbers
Easy
A power of 1 + i
6 marks
A power of 1 + i
6 marks
Complex Numbers II: Polar and Euler Form question 6: A power of 1 + i
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7.Complex Numbers
Easy
Rules for modulus and argument
6 marks
Rules for modulus and argument
6 marks
Complex Numbers II: Polar and Euler Form question 7: Rules for modulus and argument
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8.Complex Numbers
Easy
Reading an Argand diagram
6 marks
Reading an Argand diagram
6 marks
Complex Numbers II: Polar and Euler Form question 8: Reading an Argand diagram
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9.Complex Numbers
Easy
Two AC sources with equal amplitude
5 marks
Two AC sources with equal amplitude
5 marks
Complex Numbers II: Polar and Euler Form question 9: Two AC sources with equal amplitude
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10.Complex Numbers
Easy
Euler’s identity
6 marks
Euler’s identity
6 marks
Complex Numbers II: Polar and Euler Form question 10: Euler’s identity
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11.Complex Numbers
Easy
The principal argument
5 marks
The principal argument
5 marks
Complex Numbers II: Polar and Euler Form question 11: The principal argument
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12.Complex Numbers
Easy
Conjugate and reciprocal
6 marks
Conjugate and reciprocal
6 marks
Complex Numbers II: Polar and Euler Form question 12: Conjugate and reciprocal
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13.Complex Numbers
Easy
A large power
8 marks
A large power
8 marks
Complex Numbers II: Polar and Euler Form question 13: A large power
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14.Complex Numbers
Easy
Combining operations
8 marks
Combining operations
8 marks
Complex Numbers II: Polar and Euler Form question 14: Combining operations
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15.Complex Numbers
Medium
Rotating a drone camera
9 marks
Rotating a drone camera
9 marks
Complex Numbers II: Polar and Euler Form question 15: Rotating a drone camera
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16.Complex Numbers
Medium
Two vibrating machines
7 marks
Two vibrating machines
7 marks
Complex Numbers II: Polar and Euler Form question 16: Two vibrating machines
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17.Complex Numbers
Medium
Noise-cancelling headphones
9 marks
Noise-cancelling headphones
9 marks
Complex Numbers II: Polar and Euler Form question 17: Noise-cancelling headphones
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18.Complex Numbers
Medium
When is a power real?
9 marks
When is a power real?
9 marks
Complex Numbers II: Polar and Euler Form question 18: When is a power real?
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19.Complex Numbers
Medium
An equilateral triangle
8 marks
An equilateral triangle
8 marks
Complex Numbers II: Polar and Euler Form question 19: An equilateral triangle
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20.Complex Numbers
Medium
A hexagonal paving stone
9 marks
A hexagonal paving stone
9 marks
Complex Numbers II: Polar and Euler Form question 20: A hexagonal paving stone
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21.Complex Numbers
Medium
A spiral
10 marks
A spiral
10 marks
Complex Numbers II: Polar and Euler Form question 21: A spiral
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22.Complex Numbers
Medium
Current and power factor
7 marks
Current and power factor
7 marks
Complex Numbers II: Polar and Euler Form question 22: Current and power factor
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23.Complex Numbers
Medium
Exponential form and powers
8 marks
Exponential form and powers
8 marks
Complex Numbers II: Polar and Euler Form question 23: Exponential form and powers
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24.Complex Numbers
Medium
A quotient of powers
7 marks
A quotient of powers
7 marks
Complex Numbers II: Polar and Euler Form question 24: A quotient of powers
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25.Complex Numbers
Medium
A vibrating tuning fork
9 marks
A vibrating tuning fork
9 marks
Complex Numbers II: Polar and Euler Form question 25: A vibrating tuning fork
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26.Complex Numbers
Medium
Three tugboats
13 marks
Three tugboats
13 marks
Complex Numbers II: Polar and Euler Form question 26: Three tugboats
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27.Complex Numbers
Medium
Two tides
13 marks
Two tides
13 marks
Complex Numbers II: Polar and Euler Form question 27: Two tides
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28.Complex Numbers
Medium
A regular pentagon
13 marks
A regular pentagon
13 marks
Complex Numbers II: Polar and Euler Form question 28: A regular pentagon
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29.Complex Numbers
Difficult
A robot’s spiral path
13 marks
A robot’s spiral path
13 marks
Complex Numbers II: Polar and Euler Form question 29: A robot’s spiral path
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30.Complex Numbers
Difficult
Two engine pistons
13 marks
Two engine pistons
13 marks
Complex Numbers II: Polar and Euler Form question 30: Two engine pistons
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31.Complex Numbers
Difficult
Conditions on modulus and argument
12 marks
Conditions on modulus and argument
12 marks
Complex Numbers II: Polar and Euler Form question 31: Conditions on modulus and argument
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32.Complex Numbers
Difficult
Choosing a frequency
12 marks
Choosing a frequency
12 marks
Complex Numbers II: Polar and Euler Form question 32: Choosing a frequency
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33.Complex Numbers
Difficult
Two radio transmitters
13 marks
Two radio transmitters
13 marks
Complex Numbers II: Polar and Euler Form question 33: Two radio transmitters
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34.Complex Numbers
Difficult
A spiral similarity
12 marks
A spiral similarity
12 marks
Complex Numbers II: Polar and Euler Form question 34: A spiral similarity
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35.Complex Numbers
Difficult
A real and positive quotient
11 marks
A real and positive quotient
11 marks
Complex Numbers II: Polar and Euler Form question 35: A real and positive quotient
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36.Complex Numbers
Difficult
A spiral and a circle
14 marks
A spiral and a circle
14 marks
Complex Numbers II: Polar and Euler Form question 36: A spiral and a circle
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37.Complex Numbers
Difficult
A curve drawn by two rotations
14 marks
A curve drawn by two rotations
14 marks
Complex Numbers II: Polar and Euler Form question 37: A curve drawn by two rotations
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38.Complex Numbers
Difficult
A diffraction grating
14 marks
A diffraction grating
14 marks
Complex Numbers II: Polar and Euler Form question 38: A diffraction grating
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39.Complex Numbers
Difficult
A Ferris wheel
15 marks
A Ferris wheel
15 marks
Complex Numbers II: Polar and Euler Form question 39: A Ferris wheel
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40.Complex Numbers
Difficult
Infinitely many triangles
15 marks
Infinitely many triangles
15 marks
Complex Numbers II: Polar and Euler Form question 40: Infinitely many triangles
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41.Complex Numbers
Difficult
The hands of a clock
14 marks
The hands of a clock
14 marks
Complex Numbers II: Polar and Euler Form question 41: The hands of a clock
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42.Complex Numbers
Difficult
Polygons approaching a circle
15 marks
Polygons approaching a circle
15 marks
Complex Numbers II: Polar and Euler Form question 42: Polygons approaching a circle
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