Write a point in rectangular form to polar form

Write a point in rectangular form to polar form

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explores the process of finding the polar coordinates R and Theta for a point in the Cartesian plane. It begins with a discussion on generalizations without using units, followed by identifying the quadrant of a point with negative coordinates. The tutorial then demonstrates how to calculate R using the Pythagorean theorem and Theta using the tangent function. Finally, it explains how to determine the angle in standard position, emphasizing visualization over memorization.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the fourth quadrant in relation to the coordinates discussed?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to find the values of R and Theta using the triangle created from the coordinates.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the process of using the Pythagorean theorem to find R.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you determine the angle Theta from the tangent function?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final angle in standard position and how is it derived?

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