Cosine Rule
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\(ABCD\) is a parallelogram in which \(AB=2\text{ cm}\), \(AD=1\text{ cm}\) and \(\angle ABC=60^\circ\). The diagonals intersect at \(P\) and \(\angle APB=\theta\).
Calculate the exact values of
i) \(AC\)
ii) \(BD\)
iii) \(\cos \theta\)
(i) \(AC=\sqrt3\text{ cm}\) (ii) \(BD=\sqrt7\text{ cm}\) (iii) \(\cos\theta=-\dfrac{\sqrt{21}}{7}\)
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