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# What Is a Tan Inverse?

**Tan inverse is the function used to determine an angle when given the ratio between the length of the side opposite the angle over the length of the side adjacent to the angle.** It is sometimes indicated by the terms "arctan" and "atan."

The inverse tangent function is written as "tan" followed by the number negative one in superscript. The inverse sine and the inverse cosine functions operate in the same way as inverse tangent, using the ratio between two sides of a triangle to determine a given angle. The ratio can be used for the angle calculated by the function, and all angles positive or negative 360 degrees.

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## What Is the Antiderivative of Tan(x)?

A: The antiderivative of tan(x) can be expressed as either - ln |cos(x)| + C or as ln |sec(x)| + C. In these equations, C indicates a constant, ln is the natu... Full Answer >Filed Under: -
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## How Do You Find the Cosine of Pi?

A: The trigonometric functions sine, cosine and tangent calculate the ratio of two sides in a right triangle when given an angle in that triangle. To find the... Full Answer >Filed Under: -
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## How Do You Find the Cos Inverse?

A: The basic trigonometric functions sine, cosine, and tangent give the ratio between two sides of a triangle with a given angle. The inverse trig functions f... Full Answer >Filed Under: -
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## What Is the Integral of Tan(x)?

A: The integral of tan(x) is -ln |cos x| + C. In this equation, ln indicates the function for a natural logarithm, while cos is the function cosine, and C is ... Full Answer >Filed Under: