Graphing trigonometric functions

y = cot(4(x + π/3))

y = tan(x)

Cotangent

A periodic function that is used in trigonometry. It is used in the unit circle. The x-coordinate of the point where the other side of the angle intersects the circle is cos(θ) and the y-coordinate is sin(θ).

0 and $$\frac{\pi}{2}$$ .

The period of the tangent function is $$\pi$$ .

The range of the cotangent function is all real numbers.

The graph of the cotangent function moves left by $$\frac{\pi}{3}$$ .

The tangent function does not have an amplitude as it extends infinitely in both directions.

The vertical asymptotes occur at $$x = \frac{\pi}{2} + n\pi$$ , where n is any integer.