Cotangent

The cotangent function is defined by the formula $$\cot(z)=\dfrac{1}{\tan z}=\dfrac{\cos(z)}{\sin(z)},$$ where $\tan$ denotes the tangent function.

• Cotangent.png

  Plot of cotangent function on $\mathbb{R}$.

• Complex Cot.jpg

  Domain coloring of analytic continuation of $\cot$.

Properties

Proposition: $\dfrac{d}{dx}$$\cot$$(x)=-$$\csc$$^2(x)$

Proof: █

<center>Trigonometric functions

Sine

Cosine

Tangent

Cosecant

Secant

Cotangent

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