If p $$ \to $$ ($$ \sim $$ p$$ \vee $$ $$ \sim $$ q) is false, then the truth values of p and q are respectively :

The Boolean expression

$$ \sim \left( {p \vee q} \right) \vee \left( { \sim p \wedge q} \right)$$ is equvalent to :

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 :

If (p $$ \wedge $$ $$ \sim $$ q) $$ \wedge $$ (p $$ \wedge $$ r) $$ \to $$ $$ \sim $$ p $$ \vee $$ q is false, then the truth values of $$p, q$$ and $$r$$ are, respectively :