Question

Is cotangent cosine over sine?

Answer 1

Determine if cotangent cosine over sine

The tangent of $x$ is defined as: $\tan \left(x\right)=\frac{\sin \left(x\right)}{\cos \left(x\right)}$

Now, cotangent is defined as:

$$\begin{gathered} \cot \left(x\right)=\frac{1}{\tan \left(x\right)} \\ \Rightarrow \cot \left(x\right)=\frac{\cos \left(x\right)}{\sin \left(x\right)} \end{gathered}$$

Thus, the cotangent function for an angle is cosine over sine.