Laws of Sines and Cosines

Which law should I use for the given triangle?

• Law of Sines AFTER testing for #of Triangles

• Law of Sines then switch to Law of Cosines

• Law of Sines only

• None, use Right Triangle Trig

• Law of Cosines only

• Law of Cosines then switch to Law of Sines

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Use law of Sines to find angle C.

Round your answer to the nearest tenth

Mathematical Equivalence

OFF

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Find the length of side b.

Round your answer to the nearest hundredth.

Mathematical Equivalence

OFF

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

• 34.5

• 36.1

• 38.7

• 40.4

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Which Law would you use to solve for Angle B?

• SOHCAHTOA

• Law of Cosines

• Laws of the Masked Singer

• Law of Sines

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

What is the distance across the river? The two sides are 4.15 miles and 5.33 miles. The included angle measure is 37 degrees.

• 2.9 miles

• 3.2 miles

• 3.6 miles

• 3.9 miles

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Use the Law of Cosines to find the measure of angle x. The side lengths shown are 25, 32 and 37. <x is opposite the 25 length side.

• 38.5^o

• 41.7^o

• 45.1^o

• 51.3^o

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

What is the length of side x? x is opposite a 28 degree angle. 14 cm is the side length given.

• 6.57 cm

• 7.05 cm

• 7.44 cm

• 8.33 cm

Tags

CCSS.HSG.SRT.C.8

Which Law would you use?

• Law of Sines

• Law of Cosines

• Law of the Jungle

• Law of Gravity

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11