Learn to write an equation in polar form to rectangular form

Learn to write an equation in polar form to rectangular form

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the conversion of polar coordinates to rectangular form. It begins with a reminder of the conversion formulas, focusing on expressing equations in terms of x and y instead of r and theta. The instructor emphasizes the importance of applying operations equally on both sides of an equation. The tutorial then explores the concept of R-squared and its relation to the Pythagorean theorem, concluding with an acceptance of the derived solution.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the relationship between R, sine of Theta, and Y in the context of converting to rectangular form?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Discuss the importance of ensuring that operations performed on one side of an equation are also performed on the other side.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the process of multiplying R on both sides of the equation and its implications.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you express R-squared in terms of X and Y using the Pythagorean theorem?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What does the equation X^2 + Y^2 equal in this context, and why is it significant?

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