document.write( "Question 641829: if csc(theta)=13/5 and theta is in the second quadrant, what is sec(theta)? I have no clue how to do this, can you please help?\r
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document.write( "Thank you very much! \n" );
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Algebra.Com's Answer #403831 by stanbon(75887) ![]() You can put this solution on YOUR website! if csc(theta)=13/5 and theta is in the second quadrant, what is sec(theta)? \n" ); document.write( "------ \n" ); document.write( "csc(theta) = r/y, so r = 13 and y = 5 \n" ); document.write( "--- \n" ); document.write( "Solve for \"x\": \n" ); document.write( "x = sqrt[r^2-y^2] = sqrt(13^2-5^2] = sqrt[169-25] = sqrt(144) = 12 \n" ); document.write( "--- \n" ); document.write( "But x is negative in the sesond quadrant, so x = -12 \n" ); document.write( "----- \n" ); document.write( "Ans: sec(theta) = r/x = 13/(-12) = -13/12 \n" ); document.write( "====================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |