Mathematical Reasoning

Consider the following two statements : Statement p : The value of sin 120^o can be derived by taking $$\theta = {240^o}$$ in the equation 2sin$${\theta \over 2} = \sqrt {1 + \sin \theta } - \sqrt {1 - \sin \theta }$$ Statement q : The angles A, B, C and D of any quadrilateral ABCD satisfy the equation cos$$\left( {{1 \over 2}\left( {A + C} \right)} \right) + \cos \left( {{1 \over 2}\left( {B + D} \right)} \right) = 0$$ Then the truth values of p and q are respectively :