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Chapter 6: Problem 7
A vector that has a magnitude of 1 is called a ________ ________ .
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In Exercises 33-42, find the standard form of the complex number. Then represent the complex number graphically. \(7(\cos\ 0 + i\ \sin\ 0)\)
In Exercises 47-58, perform the operation and leave the result in trigonometric form. \(\dfrac{5(\cos\ 4.3 + i\ \sin\ 4.3)}{4(\cos\ 2.1 + i\ \sin\ 2.1)}\)
TRUE OR FALSE? In Exercises 107 and 108, determine whether the statement is true or false. Justify your answer. Geometrically, the \(n\)th roots of any complex number \(z\) are all equally spaced around the unit circle centered at the origin.
In Exercises 15-32, represent the complex number graphically, and find the trigonometric form of the number. \(12i\)
In Exercises 33-42, find the standard form of the complex number. Then represent the complex number graphically. \(8 \left(\cos\ \dfrac{\pi}{2} + i\ \sin\ \dfrac{\pi}{2} \right)\)
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