I am a high school student considering the possibility of one day majoring in pure math. Today I happened to be looking over how to perform inverse trigonometric operations without the use of mathematical software (Precalculus). Once you understand these operations it can be easy to see why each equation comes to each conclusion.
As I look through several examples, each one seems to become more tedious when it could be quickly solved by taking a glance at the unit circle. This personal observation made me wonder if I will be expected to go through things like this as I move to higher levels in math. Will it be looked down on to use mathematical software or not "show my work" for obvious computations?