## What is tangent tangent?

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Tangent Tangent, written as tan (θ), is one of the six fundamental trigonometric functions.

## How do I determine the value for tangent?

There are many methods that can be used to determine the value for tangent such as referencing a table of tangents, using a calculator, and approximating using the Taylor Series of tangent. In most practical cases, it is not necessary to compute a tangent value by hand, and a table, calculator, or some other reference will be provided.

**What is the domain of the tangent function?**

The domain of the tangent function is all real numbers except whenever cos (θ)=0, where the tangent function is undefined. This occurs whenever. This can be written as θ∈ R,. Below is a graph of y=tan (x) showing 3 periods of tangent.

**What is a tangent line in calculus?**

Calculus introduces students to the idea that each point on this graph could be described with a slope, or an “instantaneous rate of change.”. The tangent line is a straight line with that slope, passing through that exact point on the graph.

### What is the Phi of a tangent vector?

Let’s call phi the angle that the unit tangent vector makes with the curve here. Notice that in terms of this diagram, since the unit tangent vector has magnitude 1, the i component of it will be cosine phi and the j component will be sine phi.

### What is the unit tangent vector of Dr/DS?

In other words, dR/ds is still the unit tangent vector, the same as before. Again from a computational point of view, to find dR/ds you do not rewrite this in terms of s. You simply do what?

**What is the unit tangent vector of a curve?**

Speed along the curve happens to be called ds/dt. So, again, another name for the unit tangent vector is dR/dt divided by ds/dt. By the chain rule, we can cancel dt.