Graphing Utility: Graphs of Inverse Functions Graphing Utility: Graph the following inverse functions.Angle whose tangent is x This is another way to write arctan x. Inverse Tangent Function The inverse tangent function is defined by y = arctan x if and only if tan y = x.Tan x has an inverse function on this interval. Inverse Tangent Function Inverse Tangent Function f ( x ) = tan x must be restricted to find its inverse.Angle whose cosine is x This is another way to write arccos x. Inverse Cosine Function The inverse cosine function is defined by y = arccos x if and only if cos y = x.f ( x ) = cos x must be restricted to find its inverse. Inverse Cosine Function Inverse Cosine Function Cos x has an inverse function on this interval.Angle whose sine is x This is another way to write arcsin x. Inverse Sine Function The inverse sine function is defined by y = arcsin x if and only if sin y = x.f ( x ) = sin x does not pass the Horizontal Line Test and must be restricted to find its inverse. Recall that for a function to have an inverse, it must be a one-to-one function and pass the Horizontal Line Test. Inverse Sine Function Inverse Sine Function Sin x has an inverse function on this interval.When x0 in II y<0 in IV Range Domain arctan(x) arccos(x) arcsin(x) For the inverse trig functions the ratio is the input and the angle is the output. Remember, the angle is the input for a trig function and the ratio is the output.
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