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Because it leads to the limit concept which in turn leads to concept of derivative...

Q: Why are tangent lines important?

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Although normally it is the line that is considered to be tangent to an arc, an arc can be tangent to infinitely many lines and so the answer to the question is: in infinitely many ways.

parallel lines never touch, never get any closer or any further apart. tangent lines touch at one point

You can have a tangent line for every point on a circle, so the answer is theoretically infinite.

A secant line touches a circle at two points. On the other hand a tangent line meets a circle at one point.

Tangent.

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no

Although normally it is the line that is considered to be tangent to an arc, an arc can be tangent to infinitely many lines and so the answer to the question is: in infinitely many ways.

parallel lines never touch, never get any closer or any further apart. tangent lines touch at one point

You can have a tangent line for every point on a circle, so the answer is theoretically infinite.

Two lines tangent to a circle at the endpoints of its diameter are parallel. See related link for proof.

A secant line touches a circle at two points. On the other hand a tangent line meets a circle at one point.

yes,the direction of electric force on a charge is tangent of field lines.

Infinte

Tangent.

Tangent.

Tangent to the curve.

Tangent is used in calculus to compute the slope of a curve. Because curves do not have uniform slopes, unlike lines, their slopes change. A tangent is the slope of a curve at a specific point.