In the circle above, with centre O and radius 7 cm. Find the length of the arc AB, when < AOB = 57°.

Calculate the volume of the regular three dimensional figure drawn above, where < ABC = 90° (a right- angled triangle).

If \(\sin x = \frac{4}{5}\), find \(\frac{1 + \cot^2 x}{\csc^2 x - 1}\).

Evaluate \(\frac{2\sin 30 + 5\tan 60}{\sin 60}\), leaving your answer in surd form.

Evaluate (212)\(_3\) - (121)\(_3\) + (222)\(_3\)