Cotangent Graph Period. A 1 a 1. Use the form acotbxc d a cot b x - c d to find the variables used to find the amplitude period phase shift and vertical shift.
The basic period for y cot 2 x y cot 2 x will occur at 0 π 2 0 π 2 where 0 0 and π 2 π 2 are vertical asymptotes. Therefore you must divide pi by the period coefficient in this case 2pi. The period of the parent function cotangent is pi.
When you need to do the graphs you may be tempted to try to compute a lot of plot points.
The cotangent parent graph repeats every pi units. To plot the tangent and the cotangent graph we choose a set of points and form a table of va. The Cotangent Graph The cotangent has a period of π and we dont bother with the amplitude. Therefore you must divide pi by the period coefficient in this case 2pi.
