[" 1.Find the domain of definition of "f(x)=cos^(-1)(x^(2)-4).],[" 2.Find the domain of "f(x)=2cos^(-1)2x+sin^(-1)x],[" 3.Find the domain of "f(x)=cos^(-1)x+cos x],[" 4.Find the principal value of each of the following: "],[[" (iii) "cos^(-1)(-(sqrt(3))/(2))," [NCERT] "],[" (iii) "cos^(-1)(-(sqrt(3))/(2))," [NCERT] "],[" (iii) "cos^(-1)(sin(4 pi)/(3))," (iv) "cos^(-1)(tan(3 pi)/(4))],[" 5.For the principal values,evalues,evaluate each of the following: "]],[[" (ii) "cos^(-1)1," 2"sin^(-1)1," (NCERT) (NCERT) "]]