What is the domain of sqrt(cos(x)) ?

The domain of sqrt(cos(x)) is -pi/2+2pin<= x<= pi/2+2pin

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domain of sqrt(cos(x))

domain

cos (x)

- \frac{π}{2} + 2 πn \leq x \leq \frac{π}{2} + 2 πn

Interval Notation

[- \frac{π}{2} + 2 πn, \frac{π}{2} + 2 πn]

Solution steps

Find non-negative values for radicals:

- \frac{π}{2} + 2 πn \leq x \leq \frac{π}{2} + 2 πn

The function domain

- \frac{π}{2} + 2 πn \leq x \leq \frac{π}{2} + 2 πn

f (x) = 4 + ln (x)

x + ln (x)

f (x) = \frac{1}{- x ^{2} + 4 x}

f (x) = arcsin (2 x + 1)

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

What is the domain of sqrt(cos(x)) ?
The domain of sqrt(cos(x)) is -pi/2+2pin<= x<= pi/2+2pin