Question
Evaluate the following:
$\text{cosec}^330^\circ\cos60^\circ\tan^345^\circ\sin^290^\circ\sec^245^\circ\cot30^\circ$
$\text{cosec}^330^\circ\cos60^\circ\tan^345^\circ\sin^290^\circ\sec^245^\circ\cot30^\circ$
✓
Answer
$\text{cosec}^330^\circ\cos60^\circ\tan^345^\circ\sin^290^\circ\sec^245^\circ\cot30^\circ$
$=(2)^3\times\frac{1}{2}\times(1)^3\times(1)^2\times(\sqrt{2})^2\times\sqrt{3}$
$=8\times\frac{1}{2}\times1\times1\times2\times\sqrt{3}$
$=8\sqrt{3}$
$=(2)^3\times\frac{1}{2}\times(1)^3\times(1)^2\times(\sqrt{2})^2\times\sqrt{3}$
$=8\times\frac{1}{2}\times1\times1\times2\times\sqrt{3}$
$=8\sqrt{3}$
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