Law of Sines practice

Identify the Law of Sines

• Sin²x + Cos²x =1
• Sin(A)/a = Sin(B)/b = Sin(C)/c
• Sin(A)Sin(B)Sin(C) = 1
• Soh-Cah-Toa

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Which of the following sets of given information can be solved with the Law of Sines? Select all that apply

• Given: side a, angle B, angle C

• Given: side b, angle A, angle B

• Given: side a, side b, side c

• Given: side c, side a, angle B

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

All of the following sets of given information can be solved with the Law of Sines except:

• Given: side a, side b, Angle C

• Given: side c, side a, angle C

• Given: angle A, angle B, side a

• Given: angle B, angle C, side a

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

True/False: In order to use the Law of Sines, you must know a matching pair of angle & opposite side.

• True

• False

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

1

• A
• B
• C
• D

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Calculate the length of AC

• 30
• 24
• 27
• 35

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Solve for x.

• 21.4

• 32.2

• 34.5

• 41.6

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

solve the triangle:

A=65^o C=65^o a=12

• B=50^o, b=9.9, c=12

• B=50^o, b=10.1, c=12

• B=70^o, b=12.8, c=12

• B=40^o b=11.2, c=12

Tags

CCSS.HSG.SRT.C.8

Find m<B

• A
• B
• C
• D

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

• 73.8^o only

• 106.2^o only

• Both 73.8^o and 106.2^o are possible

• No possible solutions

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11