Trigonometric Equations

Trigonometric equations involve the trigonometric functions (sine, cosine, tangent, etc.) and are equations that contain one or more trigonometric functions. Solving trigonometric equations typically involves finding the values of the unknown angle(s) that satisfy the equation.

Here are a few examples of trigonometric equations:

1. sin(x) = 0.5
   This equation asks for the value(s) of angle x for which the sine function equals 0.5.
2. 2cos(2x) = 1
   Here, we need to find the value(s) of angle x that satisfy the equation after applying the cosine function.
3. tan(x) + 3 = 0
   This equation involves the tangent function and asks for the value(s) of angle x for which the tangent plus 3 equals zero.

Trigonometric equations can have multiple solutions, typically within a specified range or interval. The solutions can be found using algebraic manipulation, trigonometric identities, or by graphing the trigonometric functions involved.