Learn step by step to convert from rectangular form to polar form

Learn step by step to convert from rectangular form to polar form

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

Created by

Quizizz Content

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The video tutorial explains how to convert rectangular equations to polar form. It begins with an introduction to rectangular equations and their graphing on a coordinate system. The teacher then explains the relationship between rectangular and polar coordinates, focusing on the conversion process. The tutorial covers solving for R in polar equations and demonstrates factoring to simplify the process. The session concludes with deriving the final polar equation, emphasizing the importance of understanding these mathematical concepts.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What type of coordinate system is used to graph rectangular equations?

Polar coordinate system

Rectangular coordinate system

Cylindrical coordinate system

Spherical coordinate system

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In polar coordinates, what does X equal?

R cosine of Theta

R times Theta

Theta divided by R

R sine of Theta

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the expression for Y in terms of polar coordinates?

Theta divided by R

R sine of Theta

R cosine of Theta

R times Theta

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What mathematical technique is suggested to simplify the equation when solving for R?

Factoring

Differentiation

Completing the square

Integration

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final form of the polar equation after solving for R?

R equals sine of Theta minus 3 cosine of Theta

R equals cosine of Theta minus 3 sine of Theta

R equals 3 cosine of Theta minus sine of Theta

R equals cosine of Theta plus 3 sine of Theta