Question

How do you find the exact value of arctan(cos 0)?

Answer 1

`arctan(cos(0))=pi/4`

Explanation:

`cos(0)= 1`

if `theta = arctan(1)`
`color(white)("XXXX")rarr tan(theta)= 1`
and since, by definition, `arctan in [0,pi]`
the only value that meets this requirement is
`color(white)("XXXX")theta= pi/4`