Law of Sines and Cosines

Finding Angles with Law of Sines

100

Find angle A if a = 5, b = 6, angle B = 40°.

32.4^o

200

If a = 10, b = 6, angle B = 30°, find angle A.

56.4°

300

Find angle A if a = 8, b = 10, angle B = 50°.

37.8^o

Finding Side Lengths with Law of Sines

100

If angle A = 30°, angle B = 50°, a = 5, find side b.

7.7

200

If angle A = 40°, angle B = 60°, a = 10, find side b.

13.5

300

If angle A = 50°, angle B = 70°, a = 4, find side b.

4.9

Finding Angles with Law of Cosines

100

Find angle C if a = 3, b = 4, c = 5.

90^o

200

Find angle B if a = 5, b = 6, c = 7.

42.5^o

300

Find angle A if a = 8, b = 10, c = 12.

30

Finding Side Lengths with Law of Cosines

100

If a = 5, b = 3, C = 45°, find side c.

3.6

200

If a = 6, b = 8, C = 60°, find side c.

7.2

300

If a = 7, b = 9, angle C = 30°, find side c.

4.6