Trigonometric Functions - Unit Circle Approach Worksheet Page 10
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1
2
3
4
5
6
7
8
9
10
11
1221
1
3
(
)
1
3
(
)
,
–
,
2
2
2
2
π
2 π
3
3
60˚
120˚
300˚
240˚
4 π
5 π
3
3
3
1
1
3
(
)
(
)
, –
–
, –
2
2
2
2
Find the exact values of the following:
4 π
Ex. 7a
cos(135˚)
Ex. 7b
sin(
)
3
11 π
7 π
Ex. 7c
tan(
)
Ex. 7d
csc(
)
6
4
Ex. 7e
cot(210˚)
Ex. 7f
sec(150˚)
Solution:
2
3
4 π
a)
cos(135˚) = x
= –
b)
sin(
) = y
= –
uc
uc
2
3
2
1
−
y
3
11 π
uc
2
c)
tan(
) =
=
= –
x
6
3
3
uc
2
1
7 π
1
d)
csc(
) =
=
= –
2
y
4
2
uc
−
2
3
−
x
uc
2
e)
cot(210˚) =
=
=
3
y
1
uc
−
2
1
2 3
1
f)
sec(150˚) =
=
= –
x
3
3
uc
−
2
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