Converting Rectangular to Polar Coordinates

Converting Rectangular to Polar Coordinates

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Practice Problem

Hard

CCSS
HSN.CN.B.4, HSF.TF.A.2, HSF-BF.B.4D

+2

Standards-aligned

Created by

Emma Peterson

FREE Resource

Standards-aligned

CCSS.HSN.CN.B.4
,
CCSS.HSF.TF.A.2
,
CCSS.HSF-BF.B.4D
CCSS.6.NS.C.6B
,
CCSS.HSF.TF.B.7
,

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What trigonometric function is used to find the angle in polar coordinates when converting from rectangular coordinates?

Sine

Cosine

Tangent inverse

Cotangent

Tags

CCSS.HSN.CN.B.4

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If a point is in the second or third quadrant, what must be added to the angle obtained from the tangent inverse to correctly position it in polar coordinates?

3 Pi/2

Pi/2

2 Pi

Pi

Tags

CCSS.HSF.TF.A.2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the correct formula to calculate the radius 'r' in polar coordinates from rectangular coordinates 'x' and 'y'?

r = x/y

r = x^2 + y^2

r = sqrt(x^2 + y^2)

r = y/x

Tags

CCSS.HSN.CN.B.4

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In which quadrant does the tangent inverse function naturally provide correct angles without needing adjustments?

Quadrant 1 and 4

Quadrant 2 and 3

Quadrant 1 and 2

Quadrant 3 and 4

Tags

CCSS.HSF-BF.B.4D

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When converting a point from rectangular to polar coordinates, if the point lies in quadrant four and a positive angle is required, how much should be added to the angle?

3 Pi/2

2 Pi

Pi/2

Pi

Tags

CCSS.HSN.CN.B.4

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the period of the tangent function used in converting coordinates?

2 pi radians

180 degrees

pi radians

360 degrees

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When converting a point from rectangular to polar coordinates, which quadrant requires adding pi to the angle obtained from the tangent inverse?

Quadrant 4

Quadrant 3

Quadrant 1

Quadrant 2

Tags

CCSS.HSN.CN.B.4

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