\\Q2:\\ \\LHS:\\ \\ Let\ x = \cos\alpha \\ = 2\cos^{-1}(\cos \alpha) \\ = 2\alpha \\ \\ RHS:\\ \\ =\cos^{-1}(2\cos^{2}\alpha -1)\\ =\cos^{-1}(\cos2\alpha )\\ = 2\alpha \\ =LHS\\ \\ \\ Q3:\\\\LHS:\\ \\ Let\\ a=\cos \alpha\\ and\\ b=\cos \beta \\ \\ =\cos^{-1}a+\cos^{-1}b\\ =\cos^{-1}(\cos...