Solving Trig With A Table Of Values Worksheet Template
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1
2
3
4Name:
_ ______________________________________________
Solving
T rig
w ith
a
T able
o f
V alues
If
y ou
h ave
a
t able
w ith
t he
v alues
o f
e ach
o f
t he
t hree
t rig
r atios
f rom
1 ˚
–
8 9˚,
t hen
y ou
c an
u se
s ubstitution
t o
determine
t he
v alue
o f
a ny
a ngle
o r
s ide
i n
a
t rigonometric
p roblem.
S imply
l ook
u p
t he
a ngle
o r
v alue
o f
t he
f raction
that
i s
c losest
t o
w hat
y ou
h ave,
a nd
s ubstitute
t hat
v alue
i n
t he
p roblem.
EXAMPLE
1.
D etermine
t an(79˚).
2.
D etermine
c os(29˚).
Determine
s in 34˚ .
sin 34˚ = 0.5592
EXAMPLE
3.
D etermine
s in(84˚).
4.
D etermine
t an(17˚).
Determine
c os 57˚ .
cos 57˚ = 0.5446
EXAMPLE
!! !
!
!!
5.
D etermine
s in
.
6.
D etermine
c os
.
!
!"
!! !
Determine
t an
.
!
First,
w rite
t he
f raction
a s
a
d ecimal.
(rounded up)
0.7778
7.0000
9
-63
70
-63
70
...
7
!!
!!
tan
= tan
0.7778
9
Look
d own
t he
t rig
t able
f or
t he
t wo
tan
d ecimals
t hat
0 .7778
i s
b etween.
0.7778
i s
b etween
0 .7536
&
0 .7813…
Figure
o ut
w hich
o ne
i s
c loser
( line
u p
the
l ast
d igit
a nd
i gnore
t he
d ecimal).
.7536
difference: 7778-7536 = 242
.7778
difference: 7813-7778 = 35
.7813
7778 is closer to 7813, which means
!! !
that ������
is closer to 38˚ than 37˚.
!
!! !
= 38˚
So…tan
!
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