## What is an example of a tangent in real life?

Real life examples of tangents to circles (i) When a cycle moves along a road, then the road becomes the tangent at each point when the wheels rolls on it. (ii) When a stone is tied at one end of a string and is rotated from the other end, then the stone will describe a circle.

### Where do we see tangents in real life?

The application of tangent in daily life can be seen in the Architecture around us. The broadness and tallness of a building are the examples of the tangent. The examples of the tangent in the daily life can be a school building, statue of liberty, bridges, monuments, pyramids etc.

**How is tangent related to slope?**

Answer: The tangent of the angle changes with the slope. The tangent of the angle is equal to the slope of the line.

**Can a tangent be inside a circle?**

No tangent line can be drawn through a point within a circle, since any such line must be a secant line. However, two tangent lines can be drawn to a circle from a point P outside of the circle.

## What are tangent lines used for?

The tangent line is useful because it allows us to find the slope of a curved function at a particular point on the curve.

### What is tangent used for in trigonometry?

They help you to find missing sides and angles of right triangles. The tangent is the ratio of the opposite side of the angle to the adjacent side.

**What is a tangent in life?**

TANGENT IN MATHS STAND FOR A LINE WHICH TOUCHES ANY CURVE AT ONLY ONE POINT , BUT IN LIFE WE CAN ASSUME TANGENT AS A SITUATION , IF WE ASSUME LIFE AS A CURVE AND TANGENT AS A SITUATION OR PHENOMENON THEN TANGENT USED IN REAL LIFE WILL BE A MOMENT WHICH COMES ONLY ONCE IN A LIFE .

**Where are tangents used?**

Remember that the tangent of an angle in a right triangle is the opposite side divided by the adjacent side. You know the adjacent side (the distance to the tree), and you know the angle (the angle of elevation), so you can use tangents to find the height of the tree.

## Is tangent line slope?

The tangent line is useful because it allows us to find the slope of a curved function at a particular point on the curve. That’ll give us the tangent line, and the tangent line will have the same slope as the slope of the curve at the point of tangency.

### What is a common tangent?

Definition of Common Tangent A tangent to a circle is a line that passes through exactly one point on a circle and is perpendicular to a line passing through the center of the circle. A line that is tangent to more than one circle is referred to as a common tangent of both circles.

**Which of the following is a tangent to the circle?**

A tangent to a circle is a straight line which touches the circle at only one point. This point is called the point of tangency. The tangent to a circle is perpendicular to the radius at the point of tangency. In the circle O , ↔PT is a tangent and ¯OP is the radius.

**What is the tangent of a circle?**

In geometry, a tangent of a circle is a straight line that touches the circle at exactly one point, never entering the circle’s interior. It is a line through a pair of infinitely close points on the circle. The tangent lines to circles form the subject of several theorems and play an important role in many geometrical constructions and proofs.

## What is the slope of a tangent line on a curve?

The slope of a tangent line at a point on a curve is known as the derivative at that point Tangent lines and derivatives are some of the main focuses of the study of Calculus

### What are the properties of tangent lines?

Since the tangent line to a circle at a point P is perpendicular to the radius to that point, theorems involving tangent lines often involve radial lines and orthogonal circles. The tangent has two defining properties such as: A Tangent touches a circle in exactly one place.

**How do you find the tangent of a circle OJS?**

The circle OJS is constructed so its radius is the sum of the radii of the two given circles. This means that JL = FP. We construct the tangent PJ from the point P to the circle OJS.