Question Find the linear approximation of $\cos 8$ about $x_0 = \frac{1}{2}$ for the function $f(x) = \cos(2x)$.

Studdy Solution
Simplify the expression.
$$L(4) = \cos(1) - 7\sin(1)$$
The linear approximation of $\cos(8)$ about $x_0 = \frac{1}{2}$ is $\cos(1) - 7\sin(1)$.