# Domain and Range values of cos nx,cos^(-1)nx

We can clearly see two graphs one is in red color and the second one is in green color. Red graph is the locus of the function f(x)=cos〖 (nx)〗 and green graph is the locus of the function g(x)=cos^(-1)〖 (nx)〗. We can change the value of n using the slide bar. We can also see 5 black points. These points are present on the cos x graph (red) with x-coordinates –π,-π/2,π/2,π,3π/2 . Let us change the values of n using the slide bar and see how the shape of the graphs will change. Let us change the values of n and see how the shape, domain and range of the functions cos nx & cos^(-1)nx get changed.

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