How many solutions does $2 \cos^2x + 5\sin x = 4$ have?

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How many values of \(x\) satisfy the equation \[2 \cos^2x + 5\sin x = 4\] in the range \(0 \leq x < 2 \pi\)?

1. \(2\),

2. \(4\),

3. \(6\),

4. \(8\).

Can we rewrite the equation in terms of \(\sin x\) only or \(\cos x\) only?