For all questions in this section, let the predicates P$(\backslash$theta $)$ and Q$(\backslash$theta $)$ be defined over the set of real numbers as follows:

P$(\backslash$theta $)$: $\backslash$theta $=\backslash$pi

Q$(\backslash$theta $)$: sin $\backslash$theta $=0$

Furthermore, define the implication I$(\backslash$theta $)$: P$(\backslash$theta $)->$ Q$(\backslash$theta $).$

Question $19(2$ points$)$

Which of the following is NOT a correct way to represent the implication I$(\backslash$theta $)?$

Question $19$ options:

The sine of an angle being zero is sufficient for the measure of the angle to be pi$.$

The sine of an angle being zero is necessary for the measure of the angle to be pi$.$

The sine of an angle is zero if the measure of the angle is pi$.$

The sine of an angle is zero whenever the measure of the angle is pi$.$