Solve the equation sin(2) + 2 cos(x) = 0 , finding all solutions in the interval [0, 2). Start by applying an appropriate trig identity.

Solve the equation sin(2) + √2 cos(x) = 0 , finding all solutions in the interval [0, 2π). Start by applying an appropriate trig identity. (You should be able to provide the exact

values of the solutions and state them in radians.)