Solving Trig With A Table Of Values Worksheet Template Page 3

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EXAMPLE  
13.     D etermine   t he   v alue   o f   x .     R ound  
14.     D etermine   t he   v alue   o f   x .     R ound  
Determine   t he   v alue   o f   x .     R ound   t o  
to   t he   n earest   t enth.  
to   t he   n earest   t enth.  
5
12
the   n earest   t enth.  
sin 64˚ =
 
cos 63˚ =
 
3
��
��
tan 51˚ =
 
 
 
��
3
�� =
 
tan 51˚
 
3
3
�� =
=
 
tan 51˚
1.2349
�� = 2.4293 … = 2.4  
EXAMPLE  
15.     D etermine   t he   v alue   o f   x .     R ound  
16.     D etermine   t he   v alue   o f   x .     R ound  
Determine   t he   v alue   o f   x .     R ound   t o  
to   t he   n earest   d egree.  
to   t he   n earest   d egree.  
6
5
the   n earest   d egree.  
tan ��˚ =
 
sin ��˚ =
 
3
7
12
cos ��˚ =
 
 
 
5
Get   x   a lone,   a nd   w rite   t he   f raction   a s   a  
decimal   t o   4   p laces.  
3
!!
!!
x˚ = cos
= cos
(0.6000)  
5
Check   t he   t able.  
 
Find   t he   c loser   v alue…  
.6018  
difference:   6 018-­‐6000   =   1 8  
.6000  
difference:   6 000-­‐5878   =   1 22  
.5878  
0.6018   i s   c loser,   s o   t he   a ngle   i s   5 3˚.  
!!
��˚ = cos
0.6000 = 53˚  
EXAMPLE  
17.     D etermine   t he   v alue   o f   x .     R ound  
18.     D etermine   t he   v alue   o f   x .     R ound  
Determine   t he   v alue   o f   x .     R ound   t o  
to   t he   n earest   d egree.  
to   t he   n earest   d egree.  
1
8
the   n earest   d egree.  
cos ��˚ =
 
sin ��˚ =
 
9
6
14
sin ��˚ =
 
 
 
12
Solve   f or   x .  
9
!!
!!
x˚ = sin
= sin
(0.7500)  
12
 
.7431  
difference:   7 500-­‐7431   =   6 9  
.7500  
difference:   7 547-­‐7500   =   4 7  
.7547  
0.7547   i s   c loser,   s o   t he   a ngle   i s   4 9˚.  
!!
��˚ = sin
0.7500 = 49˚  
 
3  

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