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Mathematics
Mathematics
Problem
Let
α
=
π
12
\alpha=\dfrac{\pi}{12}
α
=
12
π
and
β
=
π
3
\beta=\dfrac{\pi}{3}
β
=
3
π
. (a) Evaluate
sin
(
β
−
α
)
\sin(\beta-\alpha)
sin
(
β
−
α
)
exactly. (b) Evaluate
cos
(
β
+
α
)
\cos(\beta+\alpha)
cos
(
β
+
α
)
exactly.
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