Answer:
The correct choice is D
Step-by-step explanation:
The trigonometric functions,
and
are defined for all real numbers.
, this function is not defined where
.
, this function is not defined where
.
, this function is not defined where
.
For option A
The domain of
is all real numbers.
The domain of g(x) =tanx is ![x\ne \frac{(2n+1)\pi}{2}](https://tex.z-dn.net/?f=x%5Cne%20%5Cfrac%7B%282n%2B1%29%5Cpi%7D%7B2%7D)
For option B
The domain of
is all real numbers.
The domain of f(x) =csc(x) is ![x\ne n\pi](https://tex.z-dn.net/?f=x%5Cne%20n%5Cpi)
For option C,
The domain of G(x) =tanx is ![x\ne \frac{(2n+1)\pi}{2}](https://tex.z-dn.net/?f=x%5Cne%20%5Cfrac%7B%282n%2B1%29%5Cpi%7D%7B2%7D)
The domain of f(x) =cot(x) is ![x\ne n\pi](https://tex.z-dn.net/?f=x%5Cne%20n%5Cpi)
For option D;
The domain of f(x) =cot(x) is ![x\ne n\pi](https://tex.z-dn.net/?f=x%5Cne%20n%5Cpi)
The domain of f(x) =csc(x) is ![x\ne n\pi](https://tex.z-dn.net/?f=x%5Cne%20n%5Cpi)