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

Method Fails

$f(b_0) < 0$ - Invariant violated!

1.2 Regula Falsi (False Position)

Solution

$x=1.570796$

$f(x)=-0.000000$

1.3 Secant

Solution

$x=1.570796$

$f(x)=-0.000000$

1.4 Newton

Solution

$x=-1.570796$

$f(x)=-0.000000$