Pre-Calc Exam Notes 137

Pre-Calc Exam Notes 137 - Numerical Methods in Trigonometry...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Numerical Methods in Trigonometry Section 6.2 137 point of the function cos x . No matter where you start, you end up getting drawn to it. Figure 6.2.2 shows what happens when starting at x = 0: taking the cosine of 0 takes you to 1, and then successive cosines (indicated by the intersections of the vertical lines with the cosine curve) eventually spiral in a rectangular fashion to the fixed point (i.e. the solution), which is the intersection of y = cos x and y = x . Recall in Example 5.10 in Section 5.2 that we claimed that the maximum and minimum of the function y = cos 6 x + sin 4 x were 1.90596111871578, respectively. We can show this by using the open-source program Octave. 2 Octave uses a successive quadratic programming method to find the minimum of a function f ( x ). Finding the maximum of f ( x ) is the same as finding the minimum of f ( x ) then multiplying by 1 (why?). Below we show the commands to run at the Octave command prompt ( octave:n> ) to find the minimum of...
View Full Document

This note was uploaded on 01/21/2012 for the course MAC 1130 taught by Professor Dr.cheun during the Fall '11 term at FSU.

Ask a homework question - tutors are online