Find the total surface of the prism, leaving in  \({\rm{c}}{{\rm{m}}^2}\).

Find \(\theta \),  correcting to the nearest degree.

Find the smallest angle in the triangle, correcting to the nearest minute.

Convert \(0.23 \) radians to degrees, correct to 3 significant figures.

Find the acute angle which has the negative cosine of \(127^\circ \).

In which quadrant is true where   \(\cos \theta \)   is positive and   \(\tan \theta \)   is negative.

Find  \(A\),  if  \(\left( {1 + {{\tan }^2}\theta } \right)\left( {1 – {{\sin }^2}\theta } \right) = A \).

Solve \(2\sin \theta – \cos 2\theta = 1\) for \(0^\circ \le \theta \le 360^\circ \).

Solve   \(\sin \left( {x + \dfrac{\pi }{3}} \right) = \dfrac{1}{2}\)  for  \( – 3\pi \le x \le 3\pi \).  Write six answers in ascending order, correcting to two decimal places.

Solve  \(\sin x + \cos x = \sqrt 2 \)  for  \(0^\circ \le x \le 360^\circ \).   Write answers in ascending order.