That says:
"Find the angle whose cotangent is ."
Draw an equilateral triangle with all three sides equal to 2.
Its angles are all 60°:
Cut it in half by drawing an altitude of length h, into two
congruent right triangles. It cuts the bottom side in half, each
half measures 1 each.
Eliminate the right half:
Calculate h by the Pythagorean theorem:
Write instead of h:
Now return to the original problem:
"Find the angle whose cotangent is ."
We know that . Since the
numerator of is 1 and the denominator is ,
we see that 60° is the angle whose cotangent is .
In radians that's .
Edwin