Law of Sines/Law of Cosines

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

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

Parker must find the distance from Point A to Point B on opposite sides of a lake. He locates Point C that is 860 feet from point A and 175 feet from Point B. He measures the angle at Point C to be 78 degrees. Find the distance from point A to point B.

• 707643.58

• 841.22

• 877.62

• 845.01

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Given: B = 70°, a = 11, C = 40° Find: c

• 11
• 7.5
• 70
• 8

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Given: B = 70°, a = 11, C = 40° Find: c

• 11
• 7.5
• 70
• 8

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

LoC: Find x.

• 16.6
• 22.4
• 2.1
• 1.9

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Find AB

• 10.03
• 8.04
• 6.10
• 4.93

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Find the measure of ∠A

• 18
• 28
• 25
• 24

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Solve the Triangle
a=38, b= 31, c= 35
Find A, B and C

• A= 43°, B= 47°, C= 90°
• A= 70°, B= 50.1°, C= 59.9°
• A= 50.1°, B= 70°, C= 59.9°
• A= 60°, B= 70°, C= 50°

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

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