Suppose that a point moves along a curve y = f(x) y=f(x) in the xy-plane in such a way that at each point (x,y) on the curve the

Question

Suppose that a point moves along a curve y = f(x) y=f(x) in the xy-plane in such a way that at each point (x,y) on the curve the tangent line has slope - sinx. Find an equation for the curve, given that it passes through the point (0,2).

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