(Solved): please help Build a table of slopes of secant lines, msec, connecting (32,f(32)) to ( ...

Build a table of slopes of secant lines, $$m_{\text{sec }}$$, connecting $$\left(\frac{2?}{3},f\left(\frac{2?}{3}\right)\right)$$ to $$\left(\frac{2?}{3}+h,f\left(\frac{2?}{3}+h\right)\right)$$ for $$f(x)=\cos (x)$$ (to five decimal places of accuracy) and use this to estimate the slope of the tangent line to $$f(x)=\cos (x)$$ at $$x=\frac{2?}{3}$$. \begin{tabular}{lcc} \multicolumn{1}{c}{$$h$$} & $$m_{\text{sec }}$$ & $$h$$ \\ $$0.1$$ & & $$?0.1$$ \\ $$0.01$$ & & $$?0.01$$ \\ $$0.001$$ & $$?0.001$$ \\ $$0.0001$$ & $$?0.0001$$ \end{tabular} Continue to build your own table until you are sufficiently satisfied you have five decimal digits of accuracy. Estimated value of the slope of the tangent line is approximately