Concept Check Fill in the blank to correctly complete each sentence. The point (−1, 3) lies in quadrant ________ in the rectangular coordinate system .

Question

Want to see more full solutions like this?

Answer 1

Textbook Question

Chapter B, Problem 1E

Concept Check Fill in the blank to correctly complete each sentence.

The point (−1, 3) lies in quadrant ________ in the rectangular coordinate system.

System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.

Expert Solution & Answer

To determine

To fill: The blank of the statement, “The point (−1,3) lies in quadrant __ in the rectangular co-ordinate system.”

Answer to Problem 1E

Solution: The point (−1,3) lies in quadrant second in the rectangular co-ordinate system.

Explanation of Solution

The rectangular co-ordinate system is divided into four quadrants. The point’s (+x,+y) type lies in the first quadrant. The point’s (−x,+y) type lies in the second quadrant. The point’s (−x,−y) type lies in the third quadrant. The point’s (+x,−y) type lies in the fourth quadrant.

Therefore, the point (−1,3) is (−x,+y) type and lies in the second quadrant.

The graph is as follows:

Trigonometry (11th Edition), Chapter B, Problem 1E

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Students have asked these similar questions

Hi can you find the answers to unit 21 review questions in Delmar's standard textbook of electricity

pls exact values

Find the polar representations of a point which has -л<О≤л and is symmetrical to the given point with respect to the origin. (√2.- 1/1) π 4

Answer 2

Textbook Question

Chapter B, Problem 1E

Concept Check Fill in the blank to correctly complete each sentence.

The point (−1, 3) lies in quadrant ________ in the rectangular coordinate system.

System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.

Expert Solution & Answer

To determine

To fill: The blank of the statement, “The point (−1,3) lies in quadrant __ in the rectangular co-ordinate system.”

Answer to Problem 1E

Solution: The point (−1,3) lies in quadrant second in the rectangular co-ordinate system.

Explanation of Solution

The rectangular co-ordinate system is divided into four quadrants. The point’s (+x,+y) type lies in the first quadrant. The point’s (−x,+y) type lies in the second quadrant. The point’s (−x,−y) type lies in the third quadrant. The point’s (+x,−y) type lies in the fourth quadrant.

Therefore, the point (−1,3) is (−x,+y) type and lies in the second quadrant.

The graph is as follows:

Trigonometry (11th Edition), Chapter B, Problem 1E

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 3

Textbook Question

Chapter B, Problem 1E

Concept Check Fill in the blank to correctly complete each sentence.

The point (−1, 3) lies in quadrant ________ in the rectangular coordinate system.

System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.

Expert Solution & Answer

To determine

To fill: The blank of the statement, “The point (−1,3) lies in quadrant __ in the rectangular co-ordinate system.”

Answer to Problem 1E

Solution: The point (−1,3) lies in quadrant second in the rectangular co-ordinate system.

Explanation of Solution

The rectangular co-ordinate system is divided into four quadrants. The point’s (+x,+y) type lies in the first quadrant. The point’s (−x,+y) type lies in the second quadrant. The point’s (−x,−y) type lies in the third quadrant. The point’s (+x,−y) type lies in the fourth quadrant.

Therefore, the point (−1,3) is (−x,+y) type and lies in the second quadrant.

The graph is as follows:

Trigonometry (11th Edition), Chapter B, Problem 1E

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 4

Textbook Question

Chapter B, Problem 1E

Concept Check Fill in the blank to correctly complete each sentence.

The point (−1, 3) lies in quadrant ________ in the rectangular coordinate system.

System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.

Expert Solution & Answer

To determine

To fill: The blank of the statement, “The point (−1,3) lies in quadrant __ in the rectangular co-ordinate system.”

Answer to Problem 1E

Solution: The point (−1,3) lies in quadrant second in the rectangular co-ordinate system.

Explanation of Solution

The rectangular co-ordinate system is divided into four quadrants. The point’s (+x,+y) type lies in the first quadrant. The point’s (−x,+y) type lies in the second quadrant. The point’s (−x,−y) type lies in the third quadrant. The point’s (+x,−y) type lies in the fourth quadrant.

Therefore, the point (−1,3) is (−x,+y) type and lies in the second quadrant.

The graph is as follows:

Trigonometry (11th Edition), Chapter B, Problem 1E

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

Expert Solution & Answer

To determine

To fill: The blank of the statement, “The point (−1,3) lies in quadrant __ in the rectangular co-ordinate system.”

Answer to Problem 1E

Solution: The point (−1,3) lies in quadrant second in the rectangular co-ordinate system.

Explanation of Solution

The rectangular co-ordinate system is divided into four quadrants. The point’s (+x,+y) type lies in the first quadrant. The point’s (−x,+y) type lies in the second quadrant. The point’s (−x,−y) type lies in the third quadrant. The point’s (+x,−y) type lies in the fourth quadrant.

Therefore, the point (−1,3) is (−x,+y) type and lies in the second quadrant.

The graph is as follows:

Trigonometry (11th Edition), Chapter B, Problem 1E

Answer 8

Expert Solution & Answer

To determine

To fill: The blank of the statement, “The point (−1,3) lies in quadrant __ in the rectangular co-ordinate system.”

Answer to Problem 1E

Solution: The point (−1,3) lies in quadrant second in the rectangular co-ordinate system.

Explanation of Solution

The rectangular co-ordinate system is divided into four quadrants. The point’s (+x,+y) type lies in the first quadrant. The point’s (−x,+y) type lies in the second quadrant. The point’s (−x,−y) type lies in the third quadrant. The point’s (+x,−y) type lies in the fourth quadrant.

Therefore, the point (−1,3) is (−x,+y) type and lies in the second quadrant.

The graph is as follows:

Trigonometry (11th Edition), Chapter B, Problem 1E

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

To determine

To fill: The blank of the statement, “The point (−1,3) lies in quadrant __ in the rectangular co-ordinate system.”

Answer 12

Answer to Problem 1E

Solution: The point (−1,3) lies in quadrant second in the rectangular co-ordinate system.

Answer 13

Explanation of Solution

The rectangular co-ordinate system is divided into four quadrants. The point’s (+x,+y) type lies in the first quadrant. The point’s (−x,+y) type lies in the second quadrant. The point’s (−x,−y) type lies in the third quadrant. The point’s (+x,−y) type lies in the fourth quadrant.