What is the domain of sqrt(1/2-cos(x)) ?

The domain of sqrt(1/2-cos(x)) is pi/3+2pin<= x<= (5pi)/3+2pin

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domain of sqrt(1/2-cos(x))

domain

\frac{π}{3} + 2 πn \leq x \leq \frac{5 π}{3} + 2 πn

Interval Notation

[\frac{π}{3} + 2 πn, \frac{5 π}{3} + 2 πn]

Solution steps

Find non-negative values for radicals:

\frac{π}{3} + 2 πn \leq x \leq \frac{5 π}{3} + 2 πn

The function domain

\frac{π}{3} + 2 πn \leq x \leq \frac{5 π}{3} + 2 πn

What is the domain of sqrt(1/2-cos(x)) ?
The domain of sqrt(1/2-cos(x)) is pi/3+2pin<= x<= (5pi)/3+2pin