Trigonometric identities are powerful tools for simplifying complex equations in math and science. Three core groups—reciprocal, quotient, and Pythagorean—form the foundation. Effective strategies ...

Let's remind ourselves of what the sine graph looks like so that we can see how many solutions we should be expecting: Therefore, from the graph of the function, we can see that we should be expecting ...

Many students think they've solved a trig equation when they get one answer (one size of angle \(x^\circ\)). However there's often more than one answer expected so be aware of this. Let's remind ...

In this paper we study a type of trigonometric extremal problem which originates in the work of Arne Beurling in the late 1930s and concerns approximations to the function sgn (x). The extremal ...