We need the Tan B. Which side lengths correspond to this ratio?  

The tangent function has a period of  units. That is,

for all .

Since , we can rewrite the original expression  as follows:

Hence, 

First, convert the given angle measure from radians to degrees:

Next, recall that  lies in the fourth quadrant of the unit circle, wherein the cosine is positive. Furthermore, the reference angle of  is 

Hence, all that is required is to recognize from these observations that 

,

which is .

Therefore,

Because  is an odd function, we can rewrite the second term in the expression.

.

We now use a double-angle formula to expand the first term.

.

Because they are reciprocals, .

Before plugging the function into the calculator make sure the mode of the calculator is set to degrees,

Plug in  which equals to .

Before plugging the function into the calculator make sure the mode of the calculator is set to radians,

plug in 

which is equal to .

First you have to know the equation for   and apply it to our equation. Second the formula of  will allow you to get rid of the square sin and cos. Third the equation  will allow you to get rid of the . Therefore, we will have a , and that will be equal to . Sum  and  and you will get 

Remember two things. First if , find the by using the Pythagoras Theorem. If one side is  and the hypotenuse is , then the other side is .  will be . Finally remember the formula for . And just place the things we found to the equation.

The information in the table shows that while many people apply for archaeology jobs at museums and universities, the actual number of jobs is much smaller, so only 8% and 13% of applicants will find those jobs.  This supports the claim that “the demand for these jobs outstrips the number of positions available, making these jobs difficult to get.” This makes " Yes, because the information in the table validates the claim made in the last sentence of the paragraph."  

Among the other answer choices:  "Yes, because the information in the table proves that archaeology professors spend most of their time on teaching and writing" is incorrect as the table shows what types of jobs are available but does not talk about the activities that take place within the “University” jobs column.  "No, because the information in the table shows that most archaeologists apply for jobs at universities" is incorrect because while the table does show that more people apply to universities than any of the other four categories, that doesn’t mean that “most” (more than ½) do.  Also it is perfectly consistent with the author’s point that many people apply to university jobs (that’s “demand”); the author just adds that not many of those jobs exist, and the table also supports that.  And "No, because the information in the table does not specify whether the jobs at museums are curator jobs" is incorrect because, again, the “because” reason here is consistent with the author’s point that there aren’t many jobs as university professors and museum curators. If the very small number of museum jobs were to even include museum jobs that aren’t for curators, that reinforces the point that the jobs people tend to visualize as archaeology jobs aren’t, in fact, what most archaeologists do.