Multiple Choice
Express the complex number in the polar form.
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17. Graphing Complex Numbers
Polar Form of Complex Numbers
Multiple Choice
Convert the complex number from polar to rectangular form.
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Verified step by step guidance1
Identify the polar form of the complex number, which is given as z = 12(cos 90° + i sin 90°).
Recall that the polar form of a complex number is z = r(cos θ + i sin θ), where r is the magnitude and θ is the angle.
Convert the polar form to rectangular form using the formula: z = r(cos θ) + i(r sin θ).
Substitute r = 12 and θ = 90° into the formula: z = 12(cos 90°) + i(12 sin 90°).
Calculate the trigonometric values: cos 90° = 0 and sin 90° = 1, then substitute these values to find the rectangular form: z = 12(0) + i(12 * 1).
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