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Worksheets

Law of Sines

Total questions: 10

Worksheet time: 50mins

Name
Class
Date
1.
Use the Law of Sines to solve for BC
a)
33
b)
24
c)
12
d)
29
2.
Find AB
a)
10
b)
8
c)
6.1
d)
4.9
3.
Find AC
a)
12
b)
10
c)
23
d)
14
4.

Identify the Law of Sines

a)

sin⁡2x+cos⁡2x=1\sin^2x+\cos^2x=1

b)

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

c)

sin⁡(A)sin⁡(B)sin⁡(C)=1\sin\left(A\right)\sin\left(B\right)\sin\left(C\right)=1

d)

Soh Cah Toa

5.

Solve for x.

a)

24.3

b)

155.7

c)

24.3 and 155.7

d)

not possible.

6.
find X
a)
52
b)
33
c)
41
d)
29
7.

Which equation shows how you would use the law of sines to find side c?

a)

sin⁡4119=sin⁡ 75c\frac{\sin41}{19}=\frac{\sin\ 75}{c}

b)

sin⁡ 6419=sin⁡ 75c\frac{\sin\ 64}{19}=\frac{\sin\ 75}{c}

c)

sin⁡ 1964=sin⁡ c75\frac{\sin\ 19}{64}=\frac{\sin\ c}{75}

d)

sin⁡1941=sin⁡ c75\frac{\sin19}{41}=\frac{\sin\ c}{75}

8.

Which equation shows how you would use the law of sines to find side c?

a)

sin⁡4119=sin⁡ 75c\frac{\sin41}{19}=\frac{\sin\ 75}{c}

b)

sin⁡ 6419=sin⁡ 75c\frac{\sin\ 64}{19}=\frac{\sin\ 75}{c}

c)

sin⁡ 1964=sin⁡ c75\frac{\sin\ 19}{64}=\frac{\sin\ c}{75}

d)

sin⁡1941=sin⁡ c75\frac{\sin19}{41}=\frac{\sin\ c}{75}

9.

Find the value of x to the nearest tenth.

(a)  

10.

Find the value of x to the nearest tenth.

(a)