Since $x$- and $y$-coordinates can be positive, negative, or zero, the graphs of tangent and cotangent functions pose some interesting behavior; in particular, when ...

Abstract: Studies incorporating technology into the teaching of trigonometry, although sparse, have demonstrated positive effects on student achievement. The optimal sequence for integrating ...

A translation is a movement of the graph either horizontally parallel to the \(x\)-axis or vertically parallel to the \(y\)-axis. The graph of \(y = f(x)\) where \(f(x) = x^2\) is the same as the ...

Trigonometry is the branch of math that studies triangles, with a particular focus on the relationships between angles and the lengths of corresponding sides. Interestingly enough, the trigonometric ...

Given the graph of a common function, (such as a simple polynomial, quadratic or trig function) you should be able to draw the graph of its related function. The graph of the related function can be ...

Abstract: The purpose of this correspondence is to survey the literature concerning the iterative properties of multivalued switching functions. These properties are important for the synthesis of ...