Question

\text { (a) Solve the following equations for }-180^{\circ} \leq \theta \leq 180^{\circ} \text { : } \text { i) } \tan \theta=\sin \theta \text { ii) } \cos ^{2}

\theta-\frac{1}{2}=0 (b) Find all possible pairs of numbers whose product is 12 and for which the square of the sum is a minimum. Present your answers in fully simplified form.

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