Trigonometric Ratios Using Algebraic Methods

The main aim of this article is to start with an expository introduction the trigonometric ratios and then proceed latest results in field. Historically, exact were obtained using geometric constructions. methods have their own limitations arising from certain theorems. In view methods, we shall focus on powerful techniques equations deriving surds. cubic higher-order naturally arise while ratios. These are best expressed expansions cosines sine multiple angles Chebyshev polynomials first second kind respectively. So, briefly present essential properties polynomials. lead question reduced This addressed Euler's totient function. describe theory rational (when measured degrees) give rise We discuss these along related a frontline area research connecting trigonometry number theory. Results presented wherever required.