New SAT Writing and Language : New SAT

Study concepts, example questions & explanations for New SAT Writing and Language

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Example Questions

Example Question #1 : Sin, Cos, Tan

Select the ratio that would give Tan B. 10

Possible Answers:

None of the other answers.

Correct answer:

Explanation:

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

  

Example Question #4 : Sin, Cos, Tan

Calculate .

Possible Answers:

Correct answer:

Explanation:

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

for all .

Since , we can rewrite the original expression  as follows:

                 

                 

                 

                 

Hence, 

Example Question #1 : Sin, Cos, Tan

Calculate .

Possible Answers:

Correct answer:

Explanation:

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,

Example Question #1 : Sin, Cos, Tan

What is the result when the following expression is simplified as much as possible?

Possible Answers:

Correct answer:

Explanation:

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, .

Example Question #2 : Sin, Cos, Tan

Round to the nearest hundredth. 

Use your calculator to find:

 

Possible Answers:

None of the above

Correct answer:

Explanation:

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

Plug in  which equals to .

Example Question #1 : Sin, Cos, Tan

Round to the nearest hundredth. 

Use your calculator to find:

Possible Answers:

None of the above

Correct answer:

Explanation:

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

plug in 

 

which is equal to .

Example Question #11 : Sine, Cosine, & Tangent

What is the value of cos30o . sin30o . tan60o

Possible Answers:

Correct answer:

Explanation:

Solution

Example Question #622 : New Sat

 What is the closest value to this expression?

Possible Answers:

Correct answer:

Explanation:

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 

Example Question #13 : Sin, Cos, Tan

if   What is ?

Possible Answers:

Correct answer:

Explanation:

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.

Example Question #1 : Table Interpretation

The traditional view of archaeologists usually involves a college professor who spends much of his or her time digging and researching in ancient foreign libraries or a museum curator who works every day to preserve the artifacts the museum holds. While this view isn’t completely incorrect, it is incomplete, both in terms of the types of jobs available to archaeologists and in the types of work within those jobs. For example, college professors may spend summers at dig sites, but much of their time is also spent writing grants, teaching students, and writing about their research projects. Additionally, although there are still many people who work in archaeology as professors and museum curators, the demand for these jobs far outstrips the number of positions available, making the positions difficult to acquire.  1

 

The author is considering adding the following table to the end of this paragraph:

 

Construction Companies

Governmental Agencies

Museums

Universities

Applicants

14,138

12,415

9,884

15,232

Jobs Filled

9,224

5,380

766

2,014

% of applicants hired

65%

43%

8%

13%

The table above details the number of applicants for archaeology-related positions and the number of archaeology-related jobs filled for the year 2018 in the United States.

Should the author makes this addition?

Possible Answers:

No, because the information in the table shows that most archaeologists apply for jobs at universities.

Yes, because the information in the table proves that archaeology professors spend most of their time on teaching and writing.

 

Yes, because the information in the table validates the claim made in the last sentence of the paragraph.

No, because the information in the table does not specify whether the jobs at museums are curator jobs.

Correct answer:

Yes, because the information in the table validates the claim made in the last sentence of the paragraph.

Explanation:

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.

 

 

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