What is the domain of $f (x) = \sqrt{sin x}$ $f(x)=sqrt(sinx)$ ?

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Answer 1 · 2016-11-16T16:46:48

For the function to have a meaning in the real numbers we have

$sin x \geq 0$ $sinx>=0$ which happends for values

$0 + 2 \cdot k \cdot π \leq x \leq π + 2 \cdot k \cdot π$ $0+2*k*pi<=x<=pi+2*k*pi$

where $k$ $k$ is an integer.

What is the domain of f(x)=sqrt(sinx) f(x)=√sinxf(x)=sqrt(sinx) ?