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,...`