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Mathematics
Mathematics
Problem
For an acute angle
θ
\theta
θ
, the equation
5
sin
2
θ
+
3
cos
2
θ
=
4
5\sin^2\theta+3\cos^2\theta=4
5
sin
2
θ
+
3
cos
2
θ
=
4
holds. Find
sin
θ
\sin \theta
sin
θ
. a)
1
2
\dfrac12
2
1
b)
2
2
\dfrac{\sqrt2}{2}
2
2
c)
3
5
\dfrac35
5
3
d)
3
2
\dfrac{\sqrt3}{2}
2
3
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