Q.

The number of solutions of the equation sin x = cos2 x in the interval (0,10) is__.

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answer is 4.

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Detailed Solution

The given equation is  sin x = cos2 x
This can be written as 

sin2x + sinx-1 = 0

Use the quadratic formula 

sinx =1+52=+ve

Only 4 roots

Consider the graph 

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The number of solutions of the equation sin x = cos2 x in the interval (0,10) is__.