document.write( "Question 813094: Find the set of values of x (in radians) for which csc(x) = sqrt(2), for x in [0, 2π] \n" ); document.write( "

Algebra.Com's Answer #489507 by erica65404(394) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"csc%28x%29=sqrt%282%29\"$
\n" ); document.write( "we know that cosecant is the reciprical of sine so
\n" ); document.write( " $\"sin%28x%29+=+1%2Fsqrt%282%29\"$
\n" ); document.write( "now rationalize
\n" ); document.write( " $\"sin%28x%29+=+sqrt%282%29%2F2\"$
\n" ); document.write( "we can tell by this that $\"x=+pi%2F4\"$
\n" ); document.write( "but thats not all.
\n" ); document.write( "sine is positive in quadrant 1 and 2 so $\"x+=+3pi%2F4\"$ .
\n" ); document.write( "These types of problems will always have 2 answers. \n" ); document.write( "

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