Problems: Trigonometric Equations and Identities

Abstract

In this chapter, the basic and advanced problems of trigonometric equations and trigonometric identities are presented. The subjects include trigonometric equations, trigonometric identities, domain, range, period, sine and cosine identities, tangent and cotangent identities, half angle formulas, reciprocal identities, Pythagorean identities, sum and difference to product formulas, product to sum formulas, even and odd formulas, periodic formulas, sum to product formulas, double angle formulas, degrees to radians formulas, cofunction formulas, unit circle, inverse trigonometric functions, inverse properties, alternate notation, and domain and range of inverse trigonometric functions. To help students study the chapter in the most efficient way, the problems are categorized based on their difficulty levels (easy, normal, and hard) and calculation amounts (small, normal, and large). Moreover, the problems are ordered from the easiest problem with the smallest computations to the most difficult problems with the largest calculations.