Question

How do you write the equation `cosalpha=0.5` in the form of an inverse function?

Answer 1

We need to solve for `alpha`

`cosalpha = 0.5`

we need to "undo" `cos`. To do that,w e apply it's inverse, `a r c c o s` or `cos^-1`

`cos^-1(cosalpha) = cos^-1(0.5)`

`alpha = cos^-1(0.5)`

We can solve this, which gives us that `alpha = pi/3` or `5pi/3`