Solve trigonometric equations, with and without technology, including the use of the Pythagorean identity sin2 (𝐴) + cos2(𝐴) = 1.

A student solves the equation \(3\sin(x) - 2 = 0\) for \(0 \leq x \leq 2\pi\) and obtains \(x = 0.73\) radians. State the other solution in the given domain and explain how the Pythagorean identity can be used to verify both solutions.

Solve for $x$ in the equation $2\sin(x) - \cos^2(x) = 1$ where $0° \le x < 360°$. Give all solutions to the nearest degree.