Find the domain of the function f(x) = log 1/|sinx|:

$(3) F i n d t h e d o m a i n o f t h e f u n t i o n f (x) = \log \frac{1}{|\sin x|};$

Question

Find the domain of the function f(x) = log 1/|sinx|:

3   F i n d   t h e   d o m a i n   o f  
t h e   f u n t i o n   f x =   log 1 sin   x
;

Neha Sethi · Accepted Answer

Dear student We have,fx=log1sinxWe know that logagx⇒gx>0⇒1sinx>0We know that(gsinx)>0⇒g(sinx)>0So, 1sinx>02n-1π

Find the domain of the function f(x) = log 1/|sinx|: 3 F i n d t h e d o m a i n o f t h e f u n t i o n f x = log 1 sin x ;