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Problems
Mathematics
Mathematics
Problem
Compute
sin
60
∘
cos
30
∘
+
cos
60
∘
sin
30
∘
sin
2
45
∘
−
(
tan
60
∘
−
1
tan
30
∘
)
\displaystyle \frac{\sin 60^\circ \cos 30^\circ + \cos 60^\circ \sin 30^\circ}{\sin^{2} 45^\circ} - \left(\tan 60^\circ - \frac{1}{\tan 30^\circ}\right)
sin
2
4
5
∘
sin
6
0
∘
cos
3
0
∘
+
cos
6
0
∘
sin
3
0
∘
−
(
tan
6
0
∘
−
tan
3
0
∘
1
)
.
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