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Number of integral values of a for which...

Number of integral values of `a` for which the equation `cos^2x-sinx+a=0` has roots when `x in (0,pi/2)` is____________

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To solve the problem, we need to find the number of integral values of \( a \) for which the equation \[ \cos^2 x - \sin x + a = 0 \] has roots in the interval \( x \in (0, \frac{\pi}{2}) \). ...
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CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
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