The trigonometric functions are not one-to-one. But mathematicians wanted to define inverse functions. Before that could be done, we first needed to restrict the domains of the original functions so that the functions became one-to-one on the new, smaller domains. What were those restricted domains?

For the function f(x)=cosx\displaystyle {f{{\left({x}\right)}}}={\cos{{x}}}, the domain restriction is:  

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