Graphs of the Other Trigonometric Functions · Exercise 50

Use a graphing calculator to graph two periods of the given function. Note: most graphing calculators do not have a cosecant button; therefore, you will need to input $cscx$ as $\frac{1}{sinx}.$

Graph $f\left(x\right)=1+se{c}^2\left(x\right)-ta{n}^2\left(x\right).$ What is the function shown in the graph?

This problem refers to a figure in its source book that isn't reproduced here.

OpenStax, Algebra and Trigonometry 2e · §8.2 Graphs of the Other Trigonometric Functions · Exercise 50