Exploring the Law of Cosines in Trigonometry

What is the length of side 'b' in the triangle?

• 14.6 units

• 9 units

• 87 degrees

• 12 units

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

What angle is necessary to use the Law of Cosines effectively?

• 90 degrees

• 87 degrees

• 45 degrees

• 180 degrees

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

What is the degree of angle theta used in the calculations?

• 87 degrees

• 90 degrees

• 45 degrees

• 100 degrees

Tags

CCSS.HSG.SRT.C.8

Which theorem adjusts to become the Law of Cosines for non-right triangles?

• Newton's Law

• Euler's Formula

• Law of Sines

• Pythagorean Theorem

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

What is the correct formula for 'a squared' according to the Law of Cosines?

• a^2 = b^2 + c^2

• a^2 = b^2 - c^2 + 2bc * cos(theta)

• a^2 = b^2 * c^2 * cos(theta)

• a^2 = b^2 + c^2 - 2bc * cos(theta)

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Which side length is used along with 'b' to calculate 'a' using the Law of Cosines?

• Side b

• Side a

• Side c

• None

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

What is the value of 'c squared' in the calculation?

• 225

• 81

• 216

• 144

Tags

CCSS.8.G.B.8

What is the result of 12 times 9 as used in the calculation?

• 96

• 117

• 101

• 108

Tags

CCSS.4.NBT.B.5

What operation is performed last to solve for 'a'?

• Addition

• Subtraction

• Multiplication

• Square root

Tags

CCSS.8.EE.A.2

What is the approximate value of 'a' after rounding to the nearest tenth?

• 15.0

• 13.5

• 14.6

• 14.0

Tags

CCSS.5.NBT.A.4