Simplify the expression cot (cos−1(x)).

Not sure how to do this.

1 answer

cos−1(x) refers to an angle, let's call it Ø , so that
cosØ = x = x/1
so sketch a right-angled triangle, label the base angle Ø, it's adjacent side as 1, and its hypotenuse as x
then the other side is √(1 - x^2)

and cotØ = x/√(1 - x^2)

thus cot (cos−1(x)) = x/√(1 - x^2)
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