Converting an equation from rectangular to polar

Converting an equation from rectangular to polar

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to convert equations from rectangular to polar coordinates by substituting cosine and sine values for x and y. It demonstrates the process of squaring terms and solving for the variable R. The tutorial emphasizes the importance of the trigonometric identity sine squared plus cosine squared equals one, which simplifies the equation. The session concludes with a brief recap of the key concepts covered.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in converting rectangular coordinates to polar coordinates?

Substitute cosine and sine for x and y

Divide x and y by 2

Multiply x and y by 2

Add 5 to both x and y

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After substituting trigonometric functions, what is the next step in solving for R?

Add the equations together

Square the trigonometric functions

Multiply the equations

Subtract the equations

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What mathematical operation is used to isolate R in the equation?

Division

Factoring

Subtraction

Addition

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of sine squared plus cosine squared?

0

1

2

3

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What equation is mentioned at the end of the tutorial?

x^2 - y^2 = r^2

x + y = r

x^2 + y = r^2

x^2 + y^2 = r^2