A geometry problem by Akshat Sharda

Geometry Level 4

If \(\cos^2 x-a\sin x+b=0\) has only one solution in \([0,\pi]\), then which are correct?

\(A. \ \ a\in (-\infty,-2]\cup (-1,\infty)\)

\(B. \ \ a≠b\)

\(C. \ \ a=b\)

\(D. \ \ b\in (-\infty,-2]\cup (-1,\infty)\)

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