Inverse Tangent Graph Math
The inverse tangent y tan 1 x or y atan x or y arctan x is such a function that tan y x.
Inverse tangent graph math. It is an odd function. The graph of the inverse tangent has x values from negative infinity to positive infinity with all y values between those two asymptotes. The inverse of tangent is denoted as arctangent or on a calculator it will appear as atan or tan 1. For graph see graphing calculator.
The tangent function isn t defined wherever the cosine is equal to 0. Since the inverse function is obtained by reflecting the graph about the line y x y x y x the vertical asymptotes of the tangent function become horizontal asymptotes of the inverse tangent function. The domain of the inverse tangent is oo oo the range is pi 2 pi 2. The two horizontal asymptotes for the inverse cotangent function are y 0 and y π.
The calculator will find the inverse tangent of the given value in radians and degrees. The inverse is used to obtain the measure of an angle using the ratios from basic right triangle trigonometry. They are mirror images about the diagonal. Plot the graph of the inverse function of tangent tan 1 θ tan 1 theta tan 1 θ and describe the behavior of the asymptotes of this graph.
Here is cosine and inverse cosine plotted on the same graph. Cosine and inverse cosine.