(Solved): The graph below shows \( f(x)=x \sin x \) in black and the tangent line to \( f(x) \) at the point ...

The graph below shows \( f(x)=x \sin x \) in black and the tangent line to \( f(x) \) at the point \( x=\frac{\pi}{2} \) in red. Use the tangent line to approximate \( f(0.82) \). (To get an accurate answer, use the graph to find the equation of the tangent