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  4. Range of the function f(x)= sin 2(x4)+ cos 2(x4) is

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Q. Range of the function $ f(x)={{\sin }^{2}}({{x}^{4}})+{{\cos }^{2}}({{x}^{4}}) $ is

Jharkhand CECEJharkhand CECE 2014

Solution:

$ f(x)={{\sin }^{2}}({{x}^{4}})+{{\cos }^{2}}({{x}^{4}})=1 $
Hence, range $ =\{1\} $