Precalculus : Law of Cosines and Sines

Study concepts, example questions & explanations for Precalculus

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Example Questions

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Example Question #31 : Law Of Cosines And Sines

Find the length of the missing side, 

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Possible Answers:

Correct answer:

Explanation:

First, use the Law of Sines to find the measurement of angle 

Recall that all the angles in a triangle need to add up to  degrees.

Now, use the Law of Sines again to find the length of .

 

Example Question #32 : Law Of Cosines And Sines

What is the largest possible angle, measured in degrees, in triangle  if , , and ?

Possible Answers:

Correct answer:

Explanation:

In the ambiguous SSA case, use Law of Sines to solve for the angle opposite the given side.

If , then

However! Another possible value of C is

In this case the angles will be .

This is bigger than  and is consequently the answer.

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