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(a) Calculate, without the use of a calculator:
$\frac{\sin \left(180^{\circ}+x\right) \tan \left(360^{\circ}+x\right) \cos \left(180^{\circ}-x\right) \sec 300^{\circ}}{\sec ^{2} x-\tan ^{2} x}$

(b) If $\sin 2 x=0,432$ for $x \in\left[0^{\circ} 180^{\circ}\right]$, determine the value(s) of $x$.
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