EQUAÇÕES TRIGONOMÉTRICAS (FUNDAMENTAIS) # 07

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 such as sin x = sin y and cos x = cos y To reduce trigonometric equations to this form, it is necessary to use the fundamental relations of trigonometry. These three equations are called the fundamental equations of trigonometry, or simply trigonometric equations. Formulas for Solving Fundamental Equations Fundamental equations can be solved using formulas, which are obtained using the trigonometric cycle. These formulas are: 1) sinx = sinα: sinx = sinα 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 the trigonometric cycle in its counterclockwise direction. The solution in which both parts travel clockwise, 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) tan = tan tan = tan tan = tan x = α + 2kπ or x = π + α + 2kπ x = α + kπ Solve trigonometric equations Tangent trigonometric equations Tags: trigonometric equations, trigonometric equations exercises, trigonometric equations in sine and cosine, sin = sine, cos = cos, tan = tan, fundamental equations of trigonometry, fundamental trigonometric equations, trigonometry, trigonometric equations pdf, trigonometric equations mind map, trigonometric inequalities, trigonometric equations solved exercises doc, trigonometric equations enem