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)\"\" \"About 
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Use a half-angle identity to exactly evaluate the trigonometric expression: tan -3pi/8
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\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..
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