State whether the following are true or false. Justify your answer. (i) \( \sin (A + B) = \sin A + \sin B \). (ii) The value of \( \sin \theta \) increases as \( \theta \) increases. (iii) The value of \( \cos \theta \) increases as \( \theta \) increases. (iv) \( \sin \theta = \cos \theta \) for all values of \( \theta \). (v) \( \cot A \) is not defined for \( A = 0^\circ \).