This resource has been contributed by Winpossible, and can also be accessed on their website by clicking here - Inverse Tangent.

In this section you’ll learn with the help of some examples with solution; the definition and concept of the Inverse Tangent, using video and explanation in own handwriting by the instructor.

Inverse tangent is opposite of the tangent. Now 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^{-1}*x*. Generally you use tangent for an angle to find the *y*/*x* value. In case of inverse tangent, you'll 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.

Now explore 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^{-1} *x* exist, if and only if, tan *y* = *x* where -?/2 is less than y is less than ?/2.

In this section you’ll learn with the help of some examples with solution; the definition and concept of the Inverse Tangent, using video and explanation in own handwriting by the instructor.

Inverse tangent is opposite of the tangent. Now let us analyze the function

Now explore 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

This FREE mini-lesson is a part of Winpossible's online course that covers all topics within Geometry. Click on the video below to go through it. If you like it, you can buy our online course in Geometry by clicking here.

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