🚨🚨EQUAÇÕES E INEQUAÇÕES TRIGONOMÉTRICAS #09

Trigonometric equations are equalities that have at least one trigonometric ratio in which the unknown is an unknown angle. Generally, in trigonometric equations, this angle is converted to a corresponding arc, and its measure is given in radians. Trigonometric equations of the type sin x = sin y and cos x = cos y In order to reduce trigonometric equations in this way, it is necessary to use the fundamental relations of Trigonometry. These three equations are called fundamental equations of Trigonometry or simply trigonometric equations. 00:00 Trigonometric Equations 06:38 Trigonometric Inequalities 12:53 Inequality with tangent 17:25 Fundamental Relations 35:23 Equation with secant 39:18 Fundamental Formula of Trigonometry 44:14 Consequence of the Fundamental Formula Formulas for solving fundamental equations Fundamental equations can be solved using formulas, which are obtained using the trigonometric cycle. These formulas are: 1) sinx = senα: senx = senα x = α +2kπ or x = π – α + 2kπ 2) cosx = cosα: cosx = cosα x = α +2kπ or x = – α + 2kπ x = ± α + 2kπ The second part of this solution runs through the trigonometric cycle in its counterclockwise direction. The solution in which both parts run clockwise and which can also be given as a solution to the equation cosx = cosα is: cosx = cosα x = α +2kπ or x = 2π – α + 2kπ 3) tgx = tgα tgx = tgα x = α +2kπ or x = π + α + 2kπ x = α + kπ solve trigonometric equations trigonometric equations tangent Tags: trigonometric equations, trigonometric equations exercises, trigonometric equations in sine and cosine, senx = sena, cosx = cosa, tgx = tga, fundamental equations of trigonometry, fundamental trigonometric equations, trigonometry, trigonometry, trigonometric equations pdf, trigonometric equations mind map, trigonometric inequalities, trigonometric equations solved exercises doc, trigonometric equations enem