Question

\[cos^{-1}\left[cos\left(-\frac \pi 3\right)\right]\]

Answer 1

\[cos\alpha=\frac 12\]
\[\alpha =\frac \pi 3\]

Answer 2

I'm a little confused by the way you wrote that. Perhaps you're taking a different approach than I would :) But it seems to have worked out.

Answer 3

my ultimate goal is to find alpha correct?

Answer 4

LOL....I'm sorry

Answer 5

\[\large \cos^{-1}\left[\cos\left(-\frac \pi 3\right)\right]=\alpha\]

Since our outer function is an inverse trig, we're ultimately looking for an angle. Yes I suppose that's true! :)

I guess I understand what you did, you just showed the last 2 little steps I guess.

Answer 6

yep I only showed the last two steps....let's do some sum and difference angle problems :)