Fiorillo Features

This is a discovery worksheet for students to build their knowledge of the values of sine and cosine to discover the properties of the tanx and cotx graph. This will help them understand why the vertical asymptotes occur and why and how cotx and tanx differ. They do the sine value / cosine value to determine the tangent value. They can either do the decimal approximation or practice dividing the fractions.

Have students take an exponential function and discuss the inputs and outputs. Then define a function that switches the input and output, giving it a formal name of a logarithm. These notes can be used to go through, explain logarithms, and have the students fill out with me. The notes focus greatly on the relationship between exponential functions and logarithmic functions.

Students will use their knowledge of the cosine and sine values, and reciprocal identities to create a table and discovery the trend and shape of the secant and cosecant graph.