# Solving trigonometric equations involving multiple angles

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##### Examples
###### Lessons
1. Solve the following equations
i) State the general solution
ii) $0 \leq x \leq 2\pi$
1. $\sin 3x = - {1 \over 2}$
2. $\cos 2x = {\sqrt2 \over 2}$
3. $\tan {x \over 2} = -1$
4. $3\sin^2 2x -7 \sin 2x = 1 - 5 \sin 2x$
2. Solve: $\sin 2x - \cos 2x = 0$
$-180^\circ \leq x \leq 180^\circ$