1
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001
(part 1 oF 4) 10.0 points
a) Without using a calculator, fnd two values
oF
θ
that satisFy the condition
cos
θ
=
√
2
2
.
1.
0
◦
,
180
◦
2.
60
◦
,
300
◦
3.
45
◦
,
315
◦
correct
4.
90
◦
,
270
◦
5.
None oF these
6.
30
◦
,
330
◦
Explanation:
cos
θ
=
√
2
2
θ
′
= 45
◦
and
θ
lies in Quadrant I or IV.
θ
1
θ
2
Thus
θ
1
=
45
◦
and
θ
2
= 360
◦

45
◦
=
315
◦
.
002
(part 2 oF 4) 10.0 points
b) Express the above answer in radians.
1.
0
, π
2.
π
4
,
7
π
4
correct
3.
π
3
,
5
π
3
4.
π
2
,
3
π
2
5.
None oF these
6.
π
6
,
11
π
6
Explanation:
45
◦
·
π
180
◦
=
π
4
,
and
315
◦
·
π
180
◦
=
7
π
4
.
003
(part 3 oF 4) 10.0 points
c) Without using a calculator, fnd two values
oF
θ
that satisFy the condition
cos
θ
=

1
2
1.
None oF these
2.
90
◦
,
270
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 Fall '08
 Léger
 Trigonometry, Cos, quadrant

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