cos(x) Example
Thomas J. Kennedy
Contents:
1 cos(x) for [-pi/4, pi/4]
$f(x)=cos(x)$ where $\frac{-\pi}{4} \leq x \leq \frac{2\pi}{3}$
1.1 Bisection
1 Step
Method Fails
$f(b_0) < 0$ - Invariant violated!
1.2 Regula Falsi (False Position)
6 Steps
Solution
$x=1.570796$
$f(x)=-0.000000$
1.3 Secant
6 Steps
Solution
$x=1.570796$
$f(x)=-0.000000$
1.4 Newton
4 Steps
Solution
$x=-1.570796$
$f(x)=-0.000000$