Category: 2. Solve Trig Equations

Unlike normal solutions of algebraic equations with the number of solutions based on the degree of the variable, in trigonometric equations, the solutions are of two types, based on the different value of angle for the trigonometric function, for the same solution. For example, for a simple trigonometric equation 2Cosθ – 1 = 0, the solution…

We use some results and general solutions of the basic trigonometric equations to solve other trigonometric equations. These results are as follows: For any real numbers x and y, sin x = sin y implies x = nπ + (-1)ny, where n ∈ Z. For any real numbers x and y, cos x = cos…

The trigonometric equations involve trigonometric functions of angles as variables. The angle of θ trigonometric functions such as Sinθ, Cosθ, Tanθ is used as a variable in trigonometric equations. Similar to general polynomial equations, the trigonometric equations also have solutions, which are referred to as principal solutions, and general solutions. We will use the fact that the…