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Mathematics
Mathematics
Problem
An acute angle
α
\alpha
α
satisfies
sin
α
=
3
5
\sin\alpha = \dfrac{3}{5}
sin
α
=
5
3
. Without finding
α
\alpha
α
, decide which value is larger:
sin
2
α
\sin 2\alpha
sin
2
α
or
cos
2
α
\cos 2\alpha
cos
2
α
. State the larger value only.
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