Complex Numbers and Polar to Rectangular Conversion

The video tutorial explains how to plot a complex number z given in polar form on the complex plane. It involves converting the polar form to rectangular form by calculating the real and imaginary parts using trigonometric functions. The tutorial guides through the process of determining the angle and magnitude, and then using a calculator to verify the coordinates, rounding them to the nearest integer. The final result is approximately 4 - i.

What is the initial task given in the video regarding the complex number?

• To calculate the real part of the complex number.

• To convert the complex number to polar form.

• To plot the complex number on the complex plane.

• To find the magnitude of the complex number.

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CCSS.HSN.CN.B.4

What is the angle of the complex number in polar form?

• 14 degrees

• 360 degrees

• 180 degrees

• 346 degrees

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How is the angle 346 degrees described in relation to a full circle?

• It is 14 degrees short of a full circle.

• It is exactly a full circle.

• It is half a circle.

• It is 14 degrees more than a full circle.

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What is the approximate value of the square root of 17?

• 4

• 6

• 5

• 3

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Where is the estimated position of the complex number on the complex plane?

• Around 4 - i

• Around 2 - 3i

• Around 3 + 2i

• Around 5 + i

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Which trigonometric function is used to calculate the real part of the complex number?

• Sine

• Tangent

• Cosine

• Secant

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What is the real part of the complex number when rounded to the nearest integer?

• 3

• 4

• 5

• 6

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Which trigonometric function is used to calculate the imaginary part of the complex number?

• Sine

• Cosine

• Cotangent

• Tangent

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What is the imaginary part of the complex number when rounded to the nearest integer?

• 1

• 0

• -1

• -2

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What is the final rectangular form of the complex number?

• 4 - i

• 3 + 2i

• 5 + i

• 2 - 3i

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