Tangents

A tangent is a straight line that just touches a curve at one point and shows its direction there.

How the Idea Works

On a circle, a tangent touches the circle at exactly one point. In calculus, a tangent line shows the slope of a curve at a point.

Why It Helps

Tangents help estimate what a curve is doing nearby. They are useful in physics, engineering, and graphing.

Fun Facts

• On a circle, a tangent touches the circle at exactly one point.
• In calculus, a tangent line shows the slope of a curve at a point.
• Tangents help estimate what a curve is doing nearby.
• They are useful in physics, engineering, and graphing.

Did You Know?

Tangents may sound advanced, but it is built from smaller ideas like patterns, slopes, totals, and careful reasoning.