Question

Evaluate the expression without using a calculator. (Sketch a right triangle).

Answer 1

\[\tan (\arccos \frac{ \sqrt{2} }{ 2 })\]

Answer 2

same as before

Answer 3

find the other side
you can do it in your head
\[2^2-\sqrt2^2=4-2=2\]

Answer 4

method 2
know tha t
\[\cos(\frac{\pi}{4})=\frac{\sqrt2}{2}\] and that
\[\tan(\frac{\pi}{4})=1\]

Answer 5

APologies. I'm just trying to really understand this. Maybe, I'm thinking about it too much.

Answer 6

yes you are thinking way too much i think
then again if you have not seen trig for a while, who can remember all this stuff?

Answer 7

Then again, the massive amount of Trig. and Calculus rust. Yeah, I haven't seen any of this for a good year.