Concept explainers
To find: The relation between the coordinates (x, y) and (X, Y) when x-y axis are rotated through an angle.
Answer to Problem 6RCC
The desired relation between the coordinates is
Explanation of Solution
Given information :
x and y axis are rotated through an acute angle
Graph
Consider x-y axis rotated through angle to obtain new axis
Consider a point p(x, y)
Let (x, y) be old co-ordinates and (X,Y) be the new shifted co-ordinates ,
PA=y, PB=x, PC=y, PD=x
Now,
Now, BP=x=OA. This can be written as:
OA=OE-AE
Similarly, OB=y=PA. this can be written as: FA+FB
Interpretation :
The desired relation between the coordinates is
Chapter 11 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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