Converting a rectangular point to polar form in the third quadrant

Converting a rectangular point to polar form in the third quadrant

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to convert rectangular coordinates to polar coordinates. It begins by identifying the quadrant of a point and then demonstrates how to calculate the radius and angle using the Pythagorean theorem and trigonometric functions. The tutorial emphasizes understanding angles, particularly the angle alpha, and concludes with plotting the calculated points.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of identifying the quadrant in which a point lies when converting from rectangular to polar coordinates?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you calculate the radius (R) when given a point in the third quadrant?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to find the angle (Theta) in polar coordinates using the tangent function.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the relationship between the angles in standard form and the angles in polar coordinates?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the process of converting a point from polar coordinates back to rectangular coordinates.

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