The new coordinates of a point in the x y plane that is rotated about the z axis at an angle (positive is clockwise) are given by X, = Xgcos0- Y,sin0 Y, = Xpsin0 + Yocos0 where (Xo, Yo) are the coordinates of the point before the rotation. Write a user-defined function that calculates (X, Y,) , given (Xp, Yo) and 0. For function name and arguments use [xr.yr]=rotation(x,y.q), where the input arguments are the initial coordinates and the rotation angle in degrees, and the output arguments are the new coordinates. Use rotation to determine the new coordinates of a point originally at (6.5, 2.1) that is rotated about the z-axis by 25°.
The new coordinates of a point in the x y plane that is rotated about the z axis at an angle (positive is clockwise) are given by X, = Xgcos0- Y,sin0 Y, = Xpsin0 + Yocos0 where (Xo, Yo) are the coordinates of the point before the rotation. Write a user-defined function that calculates (X, Y,) , given (Xp, Yo) and 0. For function name and arguments use [xr.yr]=rotation(x,y.q), where the input arguments are the initial coordinates and the rotation angle in degrees, and the output arguments are the new coordinates. Use rotation to determine the new coordinates of a point originally at (6.5, 2.1) that is rotated about the z-axis by 25°.
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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![The new coordinates of a point in the x y plane that is rotated about the
z axis at an angle (positive is clockwise) are given by
X, = Xgcos0 – Yosin®
Y, = X»sin0 + Yocos®
where (Xo, Yo) are the coordinates of the point before the rotation. Write
a user-defined function that calculates (X, Y,) , given (Xp, Yo) and 0.
For function name and arguments use [xr,yr]=rotation(x,y,q), where the
input arguments are the initial coordinates and the rotation angle in
degrees, and the output arguments are the new coordinates. Use
rotation to determine the new coordinates of a point originally at (6.5,
2.1) that is rotated about the z-axis by 25°.
Function
C Reset
I MATLAB Documentation
1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd53b5d21-36fa-4ee2-932f-fd40dc0982c5%2F8447b8f5-05c3-486e-b149-3feae6674628%2Ft38ejl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The new coordinates of a point in the x y plane that is rotated about the
z axis at an angle (positive is clockwise) are given by
X, = Xgcos0 – Yosin®
Y, = X»sin0 + Yocos®
where (Xo, Yo) are the coordinates of the point before the rotation. Write
a user-defined function that calculates (X, Y,) , given (Xp, Yo) and 0.
For function name and arguments use [xr,yr]=rotation(x,y,q), where the
input arguments are the initial coordinates and the rotation angle in
degrees, and the output arguments are the new coordinates. Use
rotation to determine the new coordinates of a point originally at (6.5,
2.1) that is rotated about the z-axis by 25°.
Function
C Reset
I MATLAB Documentation
1
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