Examples – Trigonometric equations Based on what we have explained to the article Trigonometric equations, we are going to solve some exercises below: Example 1: Solve the equations. a) $ displaystyle sin x=sin {{10}^{{}^circ }}$ Since the angles $ displaystyle x$ and $ displaystyle {{10}^{{}^circ }}$ have the same sinuses, they are connected with the equations: $ displaystyle […]
Trigonometric equations What is a trigonometric equation? A trigonometric equation is any equation that contains a trigonometric function otherwise from trigonometric identities that are true for any angle a trigonometric equation may be true only for some certain angles in some cases. Solving Trigonometric Equations How to solve the equation $ displaystyle sin x=a$? Step […]
Trigonometric Identities – Examples Based on what we have explained to the article Trigonometric Identities, we are going to solve some exercises below: Example 1: Simplify a) $ displaystyle tan theta cot theta $ $ displaystyle tan theta cot theta =$$ displaystyle frac{{sin theta }}{{cos theta }}cdot frac{{cos theta }}{{sin theta }}=$$ displaystyle frac{{cancel{{sin theta }}}}{{cancel{{cos theta }}}}cdot frac{{cancel{{cos […]
Trigonometric Identities Sine, tangent, cotangent and cosecant in mathematics an identity is an equation that is always true. Meanwhile trigonometric identities are equations that involve trigonometric functions that are always true. This identities mostly refer to one angle labelled $ displaystyle theta $. Defining Tangent, Cotangent, Secant and Cosecant from Sine and Cosine $ displaystyle tan […]
Trigonometry What is trigonometry? Trigonometry as the world itself from the Greek, meaning to measure a triangle. This branch of mathematics studies the relationship between side lengths and angles of triangles. As we can see, Trigonometry is all about solving a triangle, which means finding all the missing parts of a triangle, basically all the […]
The law of Sines and Cosines The law of sines and cosines helps us solving triangles. In trigonometry the law of sines and cosines is an equation relating the lengths of the sides to any triangle with the sines of the angles. TIP! Firstly you must read Trigonometry Law of Sines In any triangle the ration […]
