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Homework Statement
Evaluate and express your answer in radians:
$$cot^{1}\left(1\right)$$
Homework Equations
The Attempt at a Solution
I start by identifying that the domain of Arccotangent is all real numbers. So 1 is in the domain.
From here, I looked at the unit circle and saw that ##\frac{π}{4}## has a cotangent of 1, but this was incorrect.
So I pulled out my calculator and evaluated ##\frac{1}{arctan\left(1\right)}##
However, if you'll look at my attached image, the stepbystep instructions say that ##cot\left(x\right)=\frac{1}{tan\left(x\right)}## BUT ##arccot\left(x\right)≠\frac{1}{arctan\left(x\right)}##
Why is this true?
I'm not sure what this page is telling me.
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