document.write( "Question 1063068: Please help me answer this question regarding sec, and finding csc ϴ.\r
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document.write( "Problem with possible results
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Algebra.Com's Answer #678085 by rothauserc(4718) You can put this solution on YOUR website! sec(pi/2 - theta) = sqrt(3)/2 then \n" ); document.write( ": \n" ); document.write( "Note that sec(pi/2 - theta) = csc(theta) \n" ); document.write( ": \n" ); document.write( "************************** \n" ); document.write( "therefore the answer is C) \n" ); document.write( "************************** \n" ); document.write( ": \n" ); document.write( "How do we prove this? \n" ); document.write( ": \n" ); document.write( "Note that cos(pi/2) = 0 and sin(pi/2) = 1 \n" ); document.write( ": \n" ); document.write( "sec(pi/2 - theta) = 1 / cos(pi/2 - theta) = 1 / (cos(pi/2)cos(theta) + sin(pi/2)sin(theta)) = 1 / sin(theta) \n" ); document.write( ": \n" ); document.write( "1 / sin(theta) = csc(theta) \n" ); document.write( ":\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |