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Evaluate each of the following:

cosec3 30°cos 60° tan3 45° sin2 90° sec2 45° cot 30°

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cosec3 30°cos 60° tan3 45° sin2 90° sec2 45° cot 30°

= (2)3\(\frac{1}2\) x (1)3 x (1)2\((\sqrt2)^2\) - \(\sqrt3\)

= 8 x \(\frac{1}2\) x 1 x 1 x 2 - \(\sqrt3\)

= 8\(\sqrt3\)

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