Write equation of cotangent function with period 3pi/2 phase shift 3pi/2

Adefault cotangent function has a period of π.if we want to stretch the period to 3π/2, we need to horizontally stretch/expand  the cotangent function by a factor of 3/2. this means we have to attach a coefficient of 2/3 to the independent variable to add this stretch.then, to add a phase shift of 3π/2, we note that phase shift is another way of saying translation. we would replace x with x - 3π/2 to do that.an equation of a cotangent function that fits these conditions: