What is the domain of f(x)=sqrt(1-sin^2(x)) ?

The domain of f(x)=sqrt(1-sin^2(x)) is True for all x\in\mathbb{R}

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domain of f(x)=sqrt(1-sin^2(x))

domain

f (x) = 1 - sin^{2} (x)

True for all x \in R

Solution steps

Find non-negative values for radicals:

True for all

x \in R

The function has no undefined points nor domain constraints. Therefore, the domain is

True for all x \in R

f (x) = \frac{2}{x ^{2} + 1}

f (x) = \frac{( x - 1 )}{x ( x ^{2} - 9 )}

f (x) = - 4 x^{2} + 12

5 t + 6

- \frac{1}{2} x^{2} + 2 x + 3

What is the domain of f(x)=sqrt(1-sin^2(x)) ?
The domain of f(x)=sqrt(1-sin^2(x)) is True for all x\in\mathbb{R}