Question

Which formula gives the x-coordinates of the maximum values for y = cos(x)?

Answer 1

We have been given a function $y=\cos(x)$. We are asked to find the formula which gives the x-coordinates of the maximum values for given function.

We know that cosine function oscillates between $-1$ and 1 that is minimum value of cosine is $-1$ and maximum value is $1$.

We also know that $\cos(0)=1$ and after period of cosine is $2\pi$. This means after every $2\pi$, we will get to $1$.

So maximum of cosine is $2\pi n$, where n is an integer.

Therefore, our required formula is $2\pi n$, where, $n=0,\pm 1,\pm 2,\pm3,...$