The app below shows a plot of [math]y=cos^5\left(x\right)[/math] as well as [math]y=a\cdot cos\left(x\right)+b\cdot cos\left(3x\right)+c\cdot cos\left(5x\right)[/math]. By playing with the sliders for try to make these two functions match.[br][br]Hint: It is useful the consider the following formula[center][math]cos^5\left(x\right)=\left(\frac{e^{ix}+e^{-ix}}{2}\right)^5[/math].[/center]