8.3-8.5 -Law of Sines, Cosines and Problem solving with Trig

Which Law would you use?

• Law of Sines

• Law of Cosines

• SOH CAH TOA

• Pythagorean Theorem

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Which Law would you use?

• Law of Sines

• Law of Cosines

• Pythagorean Theorem

• SOH CAH TOA

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Which Law would you use to solve for Angle B?

• SOH CAH TOA

• Law of Cosines

• Pythagorean Theorem

• Law of Sines

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Which of the following formulas shows the Law of Cosines?

• $c^2=a^2+b^2-2\cdot a\cdot b\cdot\left(Cos\ C\right)$

• $c^2=a^2+b^2+2\cdot a\cdot b\cdot\left(Cos\ B\right)$
  

• $c^2=a^2-b^2+2\cdot a\cdot b\cdot\left(Cos\ C\right)$
  

• $c^2=a^2+b^2-2\cdot a\cdot b\cdot\left(Cos\ A\right)$
  

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Identify the Law of Sines

• $\frac{Sin\ A}{a}=\frac{Sin\ B}{b}$

• $\frac{Sin\ a}{A}=\frac{Sin\ b}{B}$
  

• $\frac{Sin\ A}{Sin\ a}=\frac{Sin\ B}{Sin\ b}$
  

• Soh-Cah-Toa

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Find the length of side AB.

• 10.0

• 8.04

• 8.43

• 4.9

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

What is the measure of angle A?

• 58 degrees

• 61 degrees

• 78 degrees

• 74 degrees

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Find the length of side AC.

• 12

• 10

• 23

• 14

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Use Law of Cosines to find XZ

• 16.004 meters
• 544.165 meters
• 34.7 meters
• 1204.165 meters

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Solve for the measure of angle B if:

a = 4, b = 5, and c = 8.

• 47.5^o

• 125.1^o

• 30.8^o

• 24.1^o

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11