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.

• Basic Lesson

Guides students solving equations that involve an Tangent and Secant Graphs. Demonstrates answer checking. Where on the graph does the graph reach its maximum value(s)?

• Intermediate Lesson

Demonstrates how to solve more difficult problems. The points that intersects will satisfy the equation. 5 points are intersects.

• Independent Practice 1

A really great activity for allowing students to understand the concept of Tangent and Secant Graphs. Determine the equation for graph.

• Independent Practice 2

Students find the Tangent and Secant Graphs in assorted problems. The answers can be found below.

• Independent Practice 3

A really great activity for allowing students to understand the concept of Tangent and Secant Graphs.

• Independent Practice 4

Students find the Tangent and Secant Graphs in assorted problems. The answers can be found below.

• Homework Worksheet

Students are provided with problems to achieve the concepts of Tangent and Secant Graphs.

• Skill Quiz

This tests the students ability to evaluate Tangent and Secant Graphs.