document.write( "Question 682705: Use a half-angle formula to find the exact value of sin ((3pi)/8) \r
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Algebra.Com's Answer #423611 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Use a half-angle formula to find the exact value of sin ((3pi)/8) \n" ); document.write( "Identity:sin(s/2)=±√[(1-cos s)/2] \n" ); document.write( "sin(3π/8)=sin[(3π/4)/2]=√[1-cos(3π/4)/2]=√[1-(-√2/2)/2]=√[(1+√2/2)/2] \n" ); document.write( "sin(3π/8)=√[(1+√2/2)/2] \n" ); document.write( "check with calculator: \n" ); document.write( "sin(3π/8)≈.9238.. \n" ); document.write( "√[(1+√2/2)/2]≈.9238.. \n" ); document.write( " |