document.write( "Question 849840: α and β are quadrant I angles with cos(α) = 15/17 and csc(β) = 41/9
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document.write( "Find tan(α - β).
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Algebra.Com's Answer #511812 by stanbon(75887) ![]() You can put this solution on YOUR website! α and β are quadrant I angles with \n" ); document.write( "cos(α) = 15/17 \n" ); document.write( "Therefore sin(alpha) = sqrt[17^2-15^2]/17 = 8/17 \n" ); document.write( "Then tan(alpha) = 8/15 \n" ); document.write( "------------------------------ \n" ); document.write( "and csc(β) = 41/9 \n" ); document.write( "sin(Beta) = 9/41 \n" ); document.write( "So, cos(Beta) = sqrt[41^2-9^2]/41 = 40/41 \n" ); document.write( "Then tan(Beta) = 9/41 \n" ); document.write( "------------------------------\r \n" ); document.write( "\n" ); document.write( "Find tan(α - β) = [tan(a)-tan(b)]/[1+tan(a)tan(b) \n" ); document.write( "Note: Just plug in the numbers. \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "====================== \n" ); document.write( " \n" ); document.write( " |