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Definition of Functions

Find the doma...

Question

Find the domain of functions
$y = \sqrt{cos e c x} + \sqrt[3]{sin x}$

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Solution

$y = \sqrt{(\frac{1}{s i n x})} + \sqrt[3]{s i n x} s i n x e x i s t f o r x \in R a n d c u b e r o o t h a s n o p r o b l e m w i t h a n y v a l u e o f x \in R . b u t (\frac{1}{s i n x}) > 0 a n d s i n x \neq 0 ∴ s i n x > 0 x \in (0, π) f o r g e n e r a l v a l u e x \in (2 n π, (2 n + 1) π)$

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