Abstract
This chapter discusses trigonometric functions and equations. Trigonometric functions are useful in stating many basic scientific principles and are often encountered in equations. When only constant values of trigonometric functions appear in an equation, these constants may be treated like many others and no new mathematical problem arises from their occurrence. When variable trigonometric functions appear in an equation, the equality is of a basically different type. Then, it is called a trigonometric equation because it cannot be fully solved by algebraic methods alone. From a purely algebraic point of view, trigonometric equations may be treated as linear equations or as quadratic equations, not in variables such as x and y, but rather in the given trigonometric functions of these variables. While discussing the magnitude of angles, it is convenient to introduce a different unit of measure—that of radians rather than of degrees. This unit is essential in the calculus and is, therefore, often used in other branches of mathematics as well.
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