Which of the following functions y(x)y(x)y(x) satisfies dydx=sin(x)\frac{dy}{dx} = \sin(x)dxdy=sin(x) with y(0)=0y(0) = 0y(0)=0?
y=cos(x)y = \cos(x)y=cos(x)
y=−cos(x)y = -\cos(x)y=−cos(x)
y=1−cos(x)y = 1 - \cos(x)y=1−cos(x)
y=cos(x)−1y = \cos(x) - 1y=cos(x)−1