document.write( "Question 934032: If cos(A) = -5/13, where pi/2 is less than or equal to A < pi, then evaluate cos(A-(pi/4)) \n" ); document.write( "
Algebra.Com's Answer #567181 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! If cos(A) = -5/13, where pi/2 is less than or equal to A < pi, then evaluate cos(A-(pi/4)) \n" ); document.write( "*** \n" ); document.write( "sin(A)=12/13 (working with a (5-12-13) reference right triangle in quadrant II) \n" ); document.write( "reference angle A is in quadrant II \n" ); document.write( "cos(x-y)=cosxcosy+sinxsiny \n" ); document.write( "cos(A-(π/4))=cosAcos(π/4)+sinAsin(π/4) \n" ); document.write( "=-5/13*(√2/2)+12/13*√2/2 \n" ); document.write( "=-5√2/26+12√2/26=7√2/26 \n" ); document.write( "cos(A-(pi/4))=7√2/26 \n" ); document.write( " |