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Q: What is the definition of a tangent function?

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Tangent = sine/cosine provided that cosine is non-zero. When cosine is 0, then tangent is undefined.

The ratio of sine and cosine.

Yes. Along with the tangent function, sine is an odd function. Cosine, however, is an even function.

All positive and negative multiples of 180 degrees. (pi radians)

When a function is nested inside another function, the outer one is the parent, the inner is the child.

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Yes, the tangent function is periodic.

No.

In a right angled triangle, it is the ratio of the lengths of the side opposite to the angle and the side adjacent to the angle.Of course, this definition restricts the function to (0, 90) degrees whereas the tangent function is defined for all real numbers.

It is the cotangent function.

It is probably arctan or arc tangent, the inverse of the tangent function.

When you graph a tangent function, the asymptotes represent x values 90 and 270.

The inverse tangent, also called the arc-tangent.

From the definition of tangent, it can ONLY have one point in common called the tangent point.

An external tangent is a line that is tangent to both circles but does not pass between them.

The tan [tangent] function.When a function has two or more brakes, this is not a continuous function, but it can be a continuous function in some intervals such as the tangent does.

The tangent ratio for a right angle triangle is opposite/adjacent.

Because the tangent is a function of with the angle as its argument.

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