Rotate the xy-axes in the plane counterclockwise through an angle θ = 60° to obtain new x' y' -axes. Use the methods of this section to find (a) the x' y'-coordinates of the point whose xy-coordinates are (3, 2) and (b) the xy-coordinates of the point whose x'y' -coordinates are (4, -4)

Rotate the xy-axes in the plane counterclockwise through an angle θ = 60° to obtain new x' y' -axes. Use the methods of this section to find (a) the x' y'-coordinates of the point whose xy-coordinates are (3, 2) and (b) the xy-coordinates of the point whose x'y' -coordinates are (4, -4)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 39RE

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Question

Figure in plane geometry formed by two rays or lines that share a common endpoint, called the vertex. The angle is measured in degrees using a protractor. The different types of angles are acute, obtuse, right, straight, and reflex.

Expert Solution

Step 1

Given Data

The angle of rotation in anticlock wise direciton is θ=60°.

(a)

The expression for the x’ coordinates of the point whose xy-coordinates are (3, 2),

Step 2

The expression for the y’ coordinates of the point whose xy-coordinates are (3, 2),

Hence the x’y’ coordinates of the point whose xy-coordinates are (3, 2) is (2.232, -1.598).

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