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Mathematics
Mathematics
Problem
If
sin
β
−
cos
β
=
1
3
\sin \beta - \cos \beta = \dfrac{1}{3}
sin
β
−
cos
β
=
3
1
and
0
<
β
<
π
2
0 < \beta < \dfrac{\pi}{2}
0
<
β
<
2
π
, determine the value of
sin
β
+
cos
β
\sin \beta + \cos \beta
sin
β
+
cos
β
.
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