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)\"\" \"About 
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If cos(A) = -5/13, where pi/2 is less than or equal to A < pi, then evaluate cos(A-(pi/4))
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\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
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