How to convert a point from rectangular coordinates to polar

How to convert a point from rectangular coordinates to polar

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to convert rectangular coordinates to polar format. It begins by identifying the given point and the need to find the radius and angle Theta. The radius is calculated using the Pythagorean theorem, and Theta is determined using the tangent function. The tutorial also addresses the challenge of negative angles and how to adjust them by adding π to obtain the correct angle in radians.

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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?

Determine the radius

Use the sine function

Convert the angle to degrees

Find the angle Theta

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you calculate the radius from the given sides of a right triangle?

Subtract the smaller side from the larger side

Use the Pythagorean theorem

Multiply the sides

Add the sides together

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which trigonometric function is used to find the angle Theta?

Sine

Cosine

Tangent

Cotangent

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of using the inverse tangent function in this context?

To determine the angle Theta

To convert the angle to degrees

To calculate the hypotenuse

To find the radius

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you adjust a negative angle to ensure it is in the correct range for polar coordinates?

Add π

Divide by 2

Multiply by -1

Subtract π