What is the domain of y=sqrt(sin(x))+sqrt(cos(x)) ?

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

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domain of y=sqrt(sin(x))+sqrt(cos(x))

domain

y = sin (x) + cos (x)

2 πn \leq x \leq \frac{π}{2} + 2 πn

Interval Notation

[2 πn, \frac{π}{2} + 2 πn]

Solution steps

Find non-negative values for radicals:

2 πn \leq x \leq \frac{π}{2} + 2 πn

The function domain

2 πn \leq x \leq \frac{π}{2} + 2 πn

3 \cdot (\frac{3}{5})^{x + 2} - 4

x - 1 - 1

y = - \frac{4 x - 3}{x - 1}

\frac{x ^{2} - x - 6}{x ^{2} - 4 x + 3}

g (x) = 3 x^{2} - x + 5

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