os x)2 = 1+ 2 sin x cos x   1- 2 cos x - 3cos2 x = 1- 3cos x

C++ for Engineers and Scientists
4th Edition
ISBN:9781133187844
Author:Bronson, Gary J.
Publisher:Bronson, Gary J.
Chapter14: Numerical Methods
Section14.6: The Trapezoidal Rule
Problem 3E
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  1. Two trigonometric identities are given by:
    1. (sin x + cos x)2 = 1+ 2 sin x cos x

 

1- 2 cos x - 3cos2 x = 1- 3cos x

                  

 

  1.  

 

sin2 x

 

1- cos x

 

For each part, verify that the identity is correct by calculating the values of the left and right sides of the equation using MATLAT, substituting x=200

 

 

  1. Find the solution to the systems

+  =

 

...            ..                         .

y + 3 y + 2 y   y u

Where y (0) =0; y’ (0) =0. u (t) is a square wave.

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