Give the general solutions of the following equations

\(2\sin 3\theta - 7 \cos 2\theta + \sin \theta + 1 = 0\),

\(\cos\theta - \sin 2\theta + \cos 3\theta - \sin 4\theta = 0\).

Review question
# Can we solve $\cos\theta - \sin (2\theta) + \cos (3\theta) - \sin (4\theta) = 0$?

Ref: R8648

Give the general solutions of the following equations

\(2\sin 3\theta - 7 \cos 2\theta + \sin \theta + 1 = 0\),

\(\cos\theta - \sin 2\theta + \cos 3\theta - \sin 4\theta = 0\).