SOLUTION: What are the restrictions on {{{x}}} for the expression {{{2cosx/cot2x}}}?
Algebra.Com
Question 1109425: What are the restrictions on for the expression ?
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
must be defined and must not be zero.
So, the restrictions will arise from
and from .
When , does not exist/is not defined,
and the function is not defined.
As long as ,
has the same values as ,
but if .
The graphs of and look alike,
except that where the graph of has a hole.
When , .
When , .
As is a periodic function with period ,
the zeros repeat at , , and so on.
When , .
When , .
As is a periodic function with period ,
the zeros repeat at , , and so on.
At every multiple of ,
either or .
The restrictions can be summarized as for every integer .
The graph of the function looks like the one below,
with holes and vertical asymptotes drawn in black:
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