Question

find domain of f(x)=log(sin(x))

Answer 1

Answer:

The domain and range for any equation can be defined as - If y = f(x), The possible ... Did you know that unlike searching on DuckDuckGo, when you search on ... Although Sin

Step-by-step explanation:

Answer 2

Domain of $\mathbf{f(x)=\log (\sin x)}$ is $\mathbf{\left ( 2n\pi ,(2n+1)\pi\right)}$

Step-by-step explanation:

1. First see domain of $\mathbf{f(x)=\log (\sin x)}$   ...1)

  We know that domain of ㏒a

  a>0

2. Domain of equation 1) is

  $\mathbf{\sin x>0}$       ...2)

3. equation 2) is only varied for x value,which are

   $\mathbf{...(-4\pi ,-3\pi ),(-2\pi ,-\pi ),(0,\pi ),(2\pi ,3\pi ),(4\pi ,5\pi ),... }$

4. Generalise value of x are

   $\mathbf{2n\pi <x<(2n+1)\pi }$      

  where n belong to integer.

5. Means domain of function are

  $\mathbf{x\epsilon \left ( 2n\pi ,(2n+1)\pi\right)}$