1. Let's clarify the problem: You want to solve a trigonometric equation for $x$ with conditions like $0 \leq x \leq 360$ degrees. 2. Typically, such problems involve equations like $\sin x = a$, $\cos x = b$, or $\tan x = c$, where $a$, $b$, and $c$ are constants. 3. To solve for $x$, you find the inverse trigonometric function values and consider the domain $0 \leq x \leq 360$ degrees. 4. For example, if $\sin x = 0.5$, then $x = \sin^{-1}(0.5) = 30^\circ$ or $x = 180^\circ - 30^\circ = 150^\circ$ because sine is positive in the first and second quadrants. 5. The general approach is: - Find the principal value using the inverse trig function. - Determine all solutions within the given domain by considering the signs of the trig function in each quadrant. 6. No need to use variables like $k$ or $\pi$ if you are working strictly within $0$ to $360$ degrees and want specific solutions. 7. If you want, provide a specific equation, and I can show you step-by-step how to solve it within $0 \leq x \leq 360$ degrees.