Range of the function f(x) = sin^2(x^4) + cos | vedclass

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(B) We know the fundamental trigonometric identity: $\sin^2(	heta) + \cos^2(	heta) = 1$ for any real number $	heta$.In the given function,let $	he

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$1$

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(B) We know the fundamental trigonometric identity: $\sin^2(	heta) + \cos^2(	heta) = 1$ for any real number $	heta$.In the given function,let $	heta = x^4$.Since $x^4$ is a real number for all $x \in \mathbb{R}$,we have $f(x) = \sin^2(x^4) + \cos^2(x^4) = 1$.Since the function value is always $1$ regardless of the input $x$,the range of the function is the singleton set $\{1\}$.

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

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