Question 813094
{{{csc(x)=sqrt(2)}}}
we know that cosecant is the reciprical of sine so
{{{sin(x) = 1/sqrt(2)}}}
now rationalize
{{{sin(x) = sqrt(2)/2}}}
we can tell by this that {{{x= pi/4}}}
but thats not all.
sine is positive in quadrant 1 and 2 so {{{x = 3pi/4}}}.
These types of problems will always have 2 answers.