Law of Sines & Cosines

Identify the Law of Sines

• Sin²x + Cos²x =1

• Sin(A)/a = Sin(B)/b = Sin(C)/c

• Sin(A)Sin(B)Sin(C) = 1

• Soh-Cah-Toa

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Use the Law of Cosines to find the value of x.  (Level 1)

• 41.7

• 51.7

• 61.7

• 71.7

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Find the length of Side BC.

• 33

• 24

• 12

• 29

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Which of the following formulas shows the Law of Cosines?

• c² = a² + b² - 4ac + cosA

• c² = a² - b² - 2abcosC

• c² = a² + b² - 2abcosC

• (cos A)/a = (cos B)/b

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Amanda and Jamie are standing 25 feet apart and spot a bird in the sky between them.  The angle of elevation from Amanda to the bird is 55, and from Jamie to the bird is 63.  How far away is the bird from Amanda?

• 25.23

• 23.19

• 22.15

• 20.85

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Amanda and Jamie are standing 25 feet apart and spot a bird in the sky between them.  The angle of elevation from Amanda to the bird is 55 degrees, and from Jamie to the bird is 63 degrees.  How far away is the bird from Amanda?

• 25.23

• 23.19

• 22.15

• 20.85

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

What is the measure of angle A?

• 50 degrees

• 60 degrees

• 78 degrees

• 74 degrees

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

How Many Triangles would be possible?

• 2

• 1

• 0

• INFINITE

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

What is the length of side x?

• 6.57 cm

• 7 cm

• 7.44 cm

• 26.33 cm

Tags

CCSS.HSG.SRT.C.8

Find: a

β = 70°

c = 11

α = 40°

• 11

• 7.5

• 70

• 8

Tags

CCSS.HSG.CO.C.9