Tangent and Secant Graphs Worksheets

What Do the Graphs Dealing with Tangent, Cotangent, Secant, And Cosecant Look Like? To graph the tangent function, we mark the angle along the horizontal x axis, and for each angle, we put the tangent of that angle on the vertical y-axis. The result, as seen above, is rather jagged curve that goes to positive infinity in one direction and negative infinity in the other. The cotangent parent graph repeats every pi units. Its domain is based on its vertical asymptotes: The first one comes at 0 and then repeats every pi radians. The domain, in other words, is. Where n is an integer. You can graph a secant function f(x) = sec x by using steps similar to those for tangent and cotangent. As with tangent and cotangent, the graph of secant has asymptotes. This is because secant is defined as. The cosine graph crosses the x-axis on the interval. The cosecant goes down to the top of the sine curve and up to the bottom of the sine curve. After using the asymptotes and reciprocal as guides to sketch the cosecant curve, you can erase those extra lines, leaving just y = csc x. The figure that follows shows what this function looks like all on its own.

Thoughts From Jean Dieudonne

The life of a mathematician is dominated by an insatiable curiosity, a desire bordering on passion to solve the problems he is studying.