Prove the following: ![3 cos^{-1}x=cos^{-1}(4x^3-3x),x\ \in \biggr[\frac12,1\biggr]](https://tex.z-dn.net/?f=3+cos%5E%7B-1%7Dx%3Dcos%5E%7B-1%7D%284x%5E3-3x%29%2Cx%5C+%5Cin+%5Cbiggr%5B%5Cfrac12%2C1%5Cbiggr%5D "3 cos^{-1}x=cos^{-1}(4x^3-3x),x\ \in \biggr[\frac12,1\biggr]")
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