Example 4 For the following equations, find an x and y after 4 iterations. x = 0.7 sinx +0.2 cos y & y = 0.7 cos x -0.2 sin y Using Gauss-Seidel, assuming initial values x=y=0.5 (rad) All values are initial values x, x,. ..xº x¹ = 0.7 sinxº +0.2 cos yº x¹ = 0.7 sin0.5+0.2 cos 0.5 x² = 0.51111 y² = 0.7 cos 0.51111-0.2 sin0.5 y² = 0.51465 x² = 0.516497 x³ = 0.520211 x² = 0.522520 SOLUTION: X₁ =x from previous step and all other values are initial values x₂, .. y² = 0.510241 y³ = 0.509722 y² = 0.509007
Example 4 For the following equations, find an x and y after 4 iterations. x = 0.7 sinx +0.2 cos y & y = 0.7 cos x -0.2 sin y Using Gauss-Seidel, assuming initial values x=y=0.5 (rad) All values are initial values x, x,. ..xº x¹ = 0.7 sinxº +0.2 cos yº x¹ = 0.7 sin0.5+0.2 cos 0.5 x² = 0.51111 y² = 0.7 cos 0.51111-0.2 sin0.5 y² = 0.51465 x² = 0.516497 x³ = 0.520211 x² = 0.522520 SOLUTION: X₁ =x from previous step and all other values are initial values x₂, .. y² = 0.510241 y³ = 0.509722 y² = 0.509007
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
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hi can you explain the calculations here
Transcribed Image Text:Example 4
For the following equations, find an x and y after 4 iterations.
x = 0.7 sinx +0.2 cos y & y = 0.7 cos x -0.2 sin y
Using Gauss-Seidel, assuming initial values
x=y=0.5 (rad)
All values are initial values
x, x,. ..xº
x¹ = 0.7 sinxº +0.2 cos yº
x¹ = 0.7 sin0.5+0.2 cos 0.5
x² = 0.51111
y² = 0.7 cos 0.51111-0.2 sin0.5
y² = 0.51465
x² = 0.516497
x³ = 0.520211
x² = 0.522520
SOLUTION:
X₁
=x from previous step
and all other values are
initial values
x₂,
..
y² = 0.510241
y³ = 0.509722
y² = 0.509007
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