Pre-Calc Exam Notes 124

Pre-Calc Exam Notes 124 - totes for y = tan x become...

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124 Chapter 5 Graphing and Inverse Functions §5.3 The inverse tangent function y = tan 1 x (sometimes called the arc tangent and de- noted by y = arctan x ) can be determined similarly. The function y = tan x is one-to-one over the interval ( π 2 , π 2 ) , as we see in Figure 5.3.8: x y 0 3 2 1 1 2 3 π 4 π 2 π 4 π 2 y = tan x Figure 5.3.8 y = tan x with x restricted to ( π 2 , π 2 ) The graph of y = tan 1 x is shown below in Figure 5.3.9. Notice that the vertical asymp-
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Unformatted text preview: totes for y = tan x become horizontal asymptotes for y = tan − 1 x . Note also the symmetry about the line y = x with the graph of y = tan x . x y − 3 − 2 − 1 1 2 3 π 2 − π 2 π 4 π 2 − π 4 − π 2 y = tan x y = tan − 1 x y = x Figure 5.3.9 Graph of y = tan − 1 x...
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