Precalculus : Use the laws of cosines and sines

Study concepts, example questions & explanations for Precalculus

varsity tutors app store varsity tutors android store

Example Questions

Example Question #21 : Law Of Cosines And Sines

Find the length of the missing side, .

3

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 #22 : Law Of Cosines And Sines

Find the length of the missing side, .

1

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 #64 : Trigonometric Applications

Find the length of the missing side, 

7

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 #65 : Trigonometric Applications

Find the length of the missing side, 

8

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 #61 : Trigonometric Applications

Find the length of the missing side, .

9

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 #67 : Trigonometric Applications

Find the length of the missing side, .

4

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 #68 : Trigonometric Applications

Find the length of the missing side, 

5

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 #69 : Trigonometric Applications

Find the length of the missing side, .

6

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 #70 : Trigonometric Applications

Find the length of the missing side, 

10

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 #21 : Law Of Cosines And Sines

Find the length of the missing side, .

12

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 .

 

Learning Tools by Varsity Tutors