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Mathematics
Mathematics
Problem
Determine the complete range of the function
g
(
θ
)
=
sin
θ
+
cos
θ
g(\theta)=\sin \theta+\cos \theta
g
(
θ
)
=
sin
θ
+
cos
θ
for all real
θ
\theta
θ
. a)
[
−
1
,
1
]
[-1,1]
[
−
1
,
1
]
b)
[
−
2
,
2
]
[-2,2]
[
−
2
,
2
]
c)
[
−
2
,
2
]
[-\sqrt 2,\, \sqrt 2]
[
−
2
,
2
]
d)
(
−
2
,
2
)
(-\sqrt 2,\, \sqrt 2)
(
−
2
,
2
)
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