• Mathematics

    On Teaching Trigonometry: Graphing Trigonometric Functions (Part 2)

    Note: Thoughts expressed in this article are solely those of the author(s). Any advice given in this article may not work in all situations.       If you need to see Part 1 of this article, you can access it here. Showing your students how to graph trigonometric functions, using different techniques, can be fun. Besides using softwares, you can show your students how to program a computer to graph trigonometric functions. Programming a computer to graph trigonometric functions Again, we think that it’s best to show your students how to graph trigonometric functions by hand before showing them how to use automated tools, and one reason is that…

  • Mathematics

    On Teaching Trigonometry: Graphing Trigonometric Functions (Part 1)

    Note: Thoughts expressed in this article are solely those of the author(s). Any advice given in this article may not work in all situations.     After you’ve explained to your students that the sine and cosine are functions from the real numbers to the real numbers, you may need to mention that the tangent, cotangent, secant, and cosecant are also functions of a real variable but that are undefined for some real numbers. Explain to them the reason for the undefinedness: these last four functions are defined as ratios, where their denominators are variables, which cannot be zero, so all the angles for which these ratios have denominators equal…