SAT II Math II : Law of Sines

Study concepts, example questions & explanations for SAT II Math II

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Example Questions

Example Question #1 : Law Of Sines

Find the measure of angle .

2

Possible Answers:

Correct answer:

Explanation:

2

Start by using the Law of Sines to find the measure of angle .

Since the angles of a triangle must add up to ,

 

 

Example Question #2 : Law Of Sines

In 

Evaluate  (nearest degree)

Possible Answers:

Cannot be determined

Correct answer:

Cannot be determined

Explanation:

By the Law of Sines, if  and  are the lengths of two sides of a triangle, and  and  the measures of their respective opposite angles, 

 and  are opposite sides  and , so, setting , and :

However, the range of the sine function is , so there is no value of  for which this is true. Therefore, this triangle cannot exist.

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