document.write( "Question 729251: Use a half-angle identity to exactly evaluate the trigonometric expression: tan -3pi/8 \n" ); document.write( "
Algebra.Com's Answer #445883 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Use a half-angle identity to exactly evaluate the trigonometric expression: tan -3pi/8 \n" ); document.write( "*** \n" ); document.write( "tan(-3π/8)=-tan(3π/4)/2 \n" ); document.write( "=-(sin3π/4)/(1+cos3π/4) \n" ); document.write( "=-[√2/2/(1+(-√2/2)] \n" ); document.write( "=-(√2/2)/(1-√2/2) \n" ); document.write( "check with calculator: \n" ); document.write( "tan(-3π/8)≈-2.4142.. \n" ); document.write( "-(√2/2)/(1-√2/2)≈--2.4142.. \n" ); document.write( " |