Consider the three statements -
\(\mathrm{p}: \forall \mathrm{n} \in \mathbb{N}, 10 \mathrm{n}-3\) is a prime number, when n is not divisible by 3 .
\(\mathrm{q}: \frac{2}{\sqrt{3}}, \frac{-2}{\sqrt{3}}, \frac{-1}{\sqrt{3}}\) are the direction cosines of a directed line.
\(\mathrm{r}: \sin x\) is an increasing function in the interval \(\left[\frac{-\pi}{2}, \frac{\pi}{2}\right]\).
Then which of the following statement pattern has truth value true?

1. A \((p \wedge q) \leftrightarrow r\)
2. B \((p \rightarrow q) \rightarrow \sim r\)
3. C \((\sim p \vee q) \wedge r\)
4. D \((\sim \mathrm{p} \wedge \sim \mathrm{q}) \leftrightarrow \sim \mathrm{r}\)