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Mathematics
Mathematics
Problem
For angles
α
\alpha
α
and
β
\beta
β
satisfying
α
+
β
=
π
2
\alpha+\beta=\dfrac{\pi}{2}
α
+
β
=
2
π
, which value of
α
−
β
\alpha-\beta
α
−
β
makes
sin
α
+
sin
β
\sin\alpha+\sin\beta
sin
α
+
sin
β
attain its maximum value? a)
π
2
\dfrac{\pi}{2}
2
π
b)
π
4
\dfrac{\pi}{4}
4
π
c)
0
0
0
d)
π
6
\dfrac{\pi}{6}
6
π
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