Inverse tangent is the opposite of the tangent. Let us analyze the function y = tan x. When the positions of x and y
variables are switched, it is known as the inverse tangent function and is denoted by y = tan-1x. You use tangent for an angle to find
the y/x value.
For inverse tangent,
you use the y/x value to find the angle. The
angle that has a tangent of 1 is called the "inverse tangent
of 1" and is written tan-1 1, which equals 45 degree. (More text below video...)
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(Continued from above)
Let us see what will be the measure of the angle, the tangent of which will be -1?
This works out to 135
and 315
i.e. in second and forth quadrant.
Note: the value of y = tan-1x exist if and only if
tan y = x where -/2
is less than y is less than
/2.
The video above will explain more in detail about Inverse tangent
,
and how to apply the concepts in solving real-world problems. This is explained with the help of several examples and done watching video.
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and 315
/2
is less than y is less than
/2.