Applying the Law of Sines and Cosines in Triangle Solutions

What is the side opposite to angle A in a triangle?

• Side B

• None of the above

• Side C

• Side A

In which scenario can you NOT use the Law of Sines?

• Two sides and one angle

• One angle and two sides

• Three sides

• Two angles and one side

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

What is the correct formula for the Law of Sines?

• sin(A)/a = sin(B)/b = sin(C)/c

• a/sin(A) = b/sin(B) = c/sin(C)

• None of the above

• a/sin(A) = b/cos(B) = c/tan(C)

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

What does the Law of Cosines help to calculate?

• Only angles

• Only side lengths

• None of the above

• Both angles and side lengths

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

How do you solve for an angle using the Law of Cosines?

• Using sine function

• None of the above

• Using cosine function

• Using tangent function

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

How do you isolate the cosine of angle A in the Law of Cosines?

• None of the above

• Multiply b^2 by c^2

• Add b^2 to c^2

• Subtract b^2 and c^2 from a^2

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

What must be known to use the Law of Cosines to find an angle?

• One side and all angles

• Two sides and the included angle

• All sides

• None of the above

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

What is the result of the cosine of 111 degrees?

• -0.7071

• 0.7071

• 0.3583

• -0.3583

Tags

CCSS.HSG.SRT.C.7

Why might trigonometric functions return a negative value?

• Using the wrong function

• Angle is in a negative quadrant

• All values are positive

• Error in calculation

Tags

CCSS.HSF.TF.A.2

What is the next step after finding the cosine of an angle to find the angle itself?

• Take the sine inverse

• Take the cosine inverse

• Multiply by -1

• Add 180 degrees

Tags

CCSS.HSG.SRT.C.8