Consider the curve y = -sin x. Note that there are many tangent lines on this curve that also pass through the origin (infinitely many in fact). Of all these tangent lines, there is one special tangent line (shown below) that touches the curve in exactly three locations. Use Newton's Method to find the slope of this line correct to six decimal places.

Q: Are the approximating functionson tangent lines?

A: YES, the approximating functions are on tangent lines.

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