What will the inverse of the tangent function look like? What will be its domain and range? Below is the graph of the tangent's inverse.
The inverse in symbols is written y = arctan x or y = tan-1x
domain -∞ to ∞ range -π/2 < y < π/2
horizontal asymptotes at -π/2 and π/2 intercept (0,0)
It is an odd function and symmetrical around the origin
The cot function below is one to one in the domain 0 < x < π It passes the horizontal line test within that domain.
Study the tangent function and it's inverse. Then before looking at the answer try to graph the
cotangent's inverse function, determine the range and domain and symmetry if it exist. answer
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