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calculate the sum sin x+square root(1-sin^2x)

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We have to calculate sin x + sqrt (  1 - (sin x)^2)

sin x + sqrt (  1 - (sin x)^2)

=> sin x + sqrt ((cos x)^2)

=> sin x + cos x

This sum can be changed to many other forms but the basic result is sin x + cos x

Therefore the sum = sin x + cos x

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