
Zadatak B-3.3. Riješite jednadžbu:

$$
\cos 2012 x-\cos 2010 x=0
$$


## Prvo rješenje.

$$
\begin{aligned}
& \cos 2012 x-\cos 2010 x=0 \\
& \cos 2012 x=\cos 2010 x \\
& 2012 x=2010 x+2 k \pi, \quad k \in \mathbb{Z} \quad \text { ili } \quad 2012 x=-2010 x+2 k \pi, \quad k \in \mathbb{Z} \\
& 2012 x-2010 x=2 k \pi, \quad k \in \mathbb{Z} \quad \text { ili } \quad 2012 x+2010 x=2 k \pi, \quad k \in \mathbb{Z} \\
& x=k \pi, \quad k \in \mathbb{Z} \quad \text { ili } \quad x=\frac{k \pi}{2011}, \quad k \in \mathbb{Z}
\end{aligned}
$$

