Law of Sine and Cosine

If you hold up 3 fingers, how many fingers do you have?

• 3

• 5

• 9

• 10

Tags

CCSS.1.NBT.A.1

Using the Law of Sine, find the length of Side BC.

• 33

• 24

• 12

• 29

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Using the Law of Sine, find the length of side AB.

• 10

• 8

• 6.1

• 4.9

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Using the Law of Sine, what is the measure of angle A?

• $58\degree$

• $61\degree$

• $78\degree$

• $74\degree$

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Identify the Law of Sines

• $\sin^2x+\cos^2x=1$

• $\frac{\sin\left(A\right)}{a}=\frac{\sin\left(B\right)}{b}=\frac{\sin\left(C\right)}{c}$

• $\sin\left(A\right)\sin\left(B\right)\sin\left(C\right)=1$

• Soh Cah Toa

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Using the Law of Sine find x, the measure of the angle.

• 52

• 33

• 41

• 29

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Using the Law of Cosine, find QR

• 34.7 km

• 2.2 km

• 13.74

• 31.1 km

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Using the Law of Cosine, 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

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

Use Law of Cosines to find angle T

• 62.2 degrees
• 53.1 degrees
• 59.5 degrees
• 64.7 degrees

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11