Solving Trig With A Table Of Values Worksheet Template Page 2
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1
2
3
4EXAMPLE
!! !
!! !
7.
D etermine
c os
.
8.
D etermine
t an
.
!
!
!
!!
Determine
c os
.
!"
Write
a s
a
r ounded
d ecimal
( 4
places).
4 ÷ 15 = 0.2667
4
!!
!!
cos
= cos
0.2667
15
0.2667
i s
b etween
w hat
c os
v alues?
0.2667
i s
b etween
0 .2756
&
0 .2588…
Figure
o ut
w hich
o ne
i s
c loser.
.2756
difference: 2756-2667 = 89
.2667
difference: 2667-2588 = 79
.2588
2667 is closer to 2588, which means
!
!!
cos
is closer to 75˚ than 74˚.
!"
!
!!
= 75˚
So…cos
!"
Now
t hat
w e
k now
h ow
t o
d etermine
w hat
t he
t rig
e quals,
i t’s
t ime
t o
p lug
i t
i nto
a n
e quation
a nd
s olve
i t.
EXAMPLE
9.
D etermine
t he
v alue
o f
x .
R ound
10.
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.
��
��
the
n earest
t enth.
tan 64˚ =
cos 13˚ =
��
8
11
sin 42˚ =
2
First,
s olve
f or
x .
��
2 sin 42˚
=
∙ 2
2
�� = 2 sin 42˚
Now,
l ook
u p
w hat
s in 42˚
e quals,
and
p lug
i t
i n.
�� = 2 sin 42˚
= 2 0.6691
�� = 1.3382 = 1.3
EXAMPLE
11.
D etermine
t he
v alue
o f
x .
R ound
12.
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.
��
��
the
n earest
t enth.
cos 25˚ =
sin 68˚ =
��
10
6
tan 73˚ =
15
��
15 tan 73˚
=
∙ 15
15
�� = 15 tan 73˚
�� = 15 tan 73˚
= 15 3.2709
�� = 49.0635 = 49.1
2
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