Quiz about Law of Cosines

Question 1

Which Law would you use?

Accepted Answer

Law of Cosines

Answer

Law of Sines

Question 2

Which Law would you use?

Accepted Answer

Law of Sines

Answer

Law of Cosines

Question 3

Which Law would you use?

Accepted Answer

Law of Sines

Answer

Law of Cosines

Question 4

Which Law would you use?

Accepted Answer

Law of Cosines

Answer

Law of Sines

Question 5

Which equation shows how you would use the law of sines to find angle A?

Accepted Answer

$$\frac{\sin44}{26}=\frac{\sin\ A}{23}$$

Answer

$$\frac{\sin\ 26}{44}=\frac{\sin\ 23}{A}$$

Answer

$$\frac{\sin\ 44}{23}=\frac{\sin\ A}{26}$$

Answer

$$\frac{\sin23}{44}=\frac{\sin\ 26}{A}$$

Question 6

Which equation shows how you would use the law of sines to find side c?

Accepted Answer

$$\frac{\sin41}{19}=\frac{\sin\ 75}{c}$$

Answer

$$\frac{\sin\ 64}{19}=\frac{\sin\ 75}{c}$$

Answer

$$\frac{\sin\ 19}{64}=\frac{\sin\ c}{75}$$

Answer

$$\frac{\sin19}{41}=\frac{\sin\ c}{75}$$

Question 7

What equation could you use to find the missing side?

Accepted Answer

$$a^2=15^2+12^2-2\left(15\right)\left(12\right)\cos115^o$$

Answer

$$a=15^2+12^2-2\left(15\right)\left(12\right)\cos115^o$$

Question 8

Find the missing side.

Accepted Answer

22.8 in.

Answer

15.9 in.

Answer

19.2 in.

Answer

521.1 in.

Question 9

Which equation shows how you would use the law of cosines to solve?

Accepted Answer

$$10.4^2=21.9^2+18^2-2\left(21.9\right)\left(18\right)\cos A$$

Answer

$$10.4^2=21.9^2+18^2-\left(21.9\right)\left(18\right)\cos A$$

Question 10

Solve for Angle C

Accepted Answer

$$97^o$$

Answer

$$91^o$$

Answer

$$94^o$$

Answer

$$100^o$$

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