Question 974279
From the definition of cosecant,
{{{csc(theta)=1/sin(theta)}}}
So the cosecant is undefined when sine is zero since division by zero is undefined. 
So find the values when {{{sin(theta)=0}}}.
There are two solutions,
{{{theta=0}}} and {{{theta=180}}}
or in radians,
{{{theta=0}}} and {{{theta=pi}}}
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*[illustration ZZ6.JPG].