Concept explainers
Suppose the x- and y-axes are rotated through an acute angle ϕ to produce the new X- and Y-axes. A point P in the plane can be described by its xy-coordinates (x, y ) or its XY-coordinates (X, Y). These coordinates are related by the following formulas.
To fill: The statement “Suppose x and y axes are rotated through an acute angle
Answer to Problem 1E
Suppose x and y axes are rotated through an acute angle
Explanation of Solution
Definition used:
Definition 1:
“Suppose x and y-axes in a coordinate plane are rotated through an acute angle
Also, the coordinates of a point
Calculation:
If the x and y-axes of a coordinate plane are rotates through an acute angle
Now by the definition stated above, the coordinates of a point
Similarly, a point
Chapter 11 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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