There exists a triangle satisfying the conditions

\(b\sin A = a, A<\frac{\pi}{2}\)

\(b\sin A > a, A>\frac{\pi}{2}\)

\(b\sin A > a, A<\frac{\pi}{2}\)

\(b\sin A < a, A<\frac{\pi}{2}, b>a\)

\(b\sin A < a, A>\frac{\pi}{2}, b=a\)

Note: More than one option is correct. Enter the sum of the serial numbers of the correct options.

This problem is part of the set Trigonometry.

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