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I don't know why questions A B and D are wrong. If possible can you send me the correct way of working it out to get the answers, please? Thank you in advance

I don't know why questions A B and D are wrong. If possible can you send me the correct way of working it out to get the answers, please? Thank you in advance

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Complex Numbers
Section4.3: The Complex Plane
Problem 50E
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I don't know why questions A B and D are wrong. If possible can you send me the correct way of working it out to get the answers, please? Thank you in advance. 

1+3i | 3 We can view complex numbers as vectors in the complex plane, where real values are measured horizontally and imaginary values are measured vertically. In the image above, we see the vector representation of 1+ 3i. • the real component is 1, drawn horizontally • the imaginary component is 3, drawn vertically • the complex number, 1+ 3i, is drawn in blue, as the sum of the real and imaginary components • notice the similarity between graphing 1+ 3i and the vector (1, 3) The argument of a complex number (also known as the direction angle) can be thought of as the angle of this vector. • the argument is denoted as arg(1+ 3i) • although the notation is different, the computation remains the same as with vectors - we are interested in the angle formed by our complex number and the positive x-axis • in this example, our argument is arctan or 71.5650511770781° Determine the argument (or direction angle) in degrees for each complex number: • Make sure you're using degrees instead of radians. • If you use a decimal approximation, you must be accurate to at least 3 decimal places. a. 2 + 4i has argument: 0 = 6.34349 b. -5 + 3i has argument: 0 -30.9637 c. 10 – 1li has argument: 0 = -47.7263 d. -14 – 5i has argument: 0 –19.6538
Transcribed Image Text:1+3i | 3 We can view complex numbers as vectors in the complex plane, where real values are measured horizontally and imaginary values are measured vertically. In the image above, we see the vector representation of 1+ 3i. • the real component is 1, drawn horizontally • the imaginary component is 3, drawn vertically • the complex number, 1+ 3i, is drawn in blue, as the sum of the real and imaginary components • notice the similarity between graphing 1+ 3i and the vector (1, 3) The argument of a complex number (also known as the direction angle) can be thought of as the angle of this vector. • the argument is denoted as arg(1+ 3i) • although the notation is different, the computation remains the same as with vectors - we are interested in the angle formed by our complex number and the positive x-axis • in this example, our argument is arctan or 71.5650511770781° Determine the argument (or direction angle) in degrees for each complex number: • Make sure you're using degrees instead of radians. • If you use a decimal approximation, you must be accurate to at least 3 decimal places. a. 2 + 4i has argument: 0 = 6.34349 b. -5 + 3i has argument: 0 -30.9637 c. 10 – 1li has argument: 0 = -47.7263 d. -14 – 5i has argument: 0 –19.6538
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