0606 P22 - Mar 2018 - Q11 - 11 marks
8406
(a) (i) Show that \(\dfrac{(1-\sin A)(1+\sin A)}{\sin A\cos A}=\operatorname{cot}A\).
(ii) Hence solve \(\dfrac{(1-\sin3x)(1+\sin3x)}{\sin3x\cos3x}=\dfrac12\) for \(0^\circ\leq x\leq180^\circ\).
(b) Solve \(10\tan^2y-\operatorname{sec}y-1=0\) for \(0\leq y\leq2\pi\) radians.
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