document.write( "Question 34739: what is the exact value of sin 22.5 degrees using the sum, difference, half, or double angle formulas and the exact value chart in the solution. \n" ); document.write( "

Algebra.Com's Answer #21021 by venugopalramana(3286) $\"\"$ $\"About$

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what is the exact value of sin 22.5 degrees using the sum, difference, half, or double angle formulas and the exact value chart in the solution.
\n" ); document.write( "LET A = 22.5...LET SIN(A)=X TO BE FOUND OUT..
\n" ); document.write( "2A=2*22.5=45
\n" ); document.write( "COS(2A)=1-2*{SIN(A)}^2
\n" ); document.write( "COS(45)=1-2X^2
\n" ); document.write( "1/SQRT(2)=1-2X^2
\n" ); document.write( "2X^2=1-1/SQRT(2)=1-SQRT(2)/2=(2-SQRT(2))/2
\n" ); document.write( "X^2=(2-SQRT(2))/4
\n" ); document.write( "X=SQRT{2-SQRT(2)}/2
\n" ); document.write( "=0.3827 \n" ); document.write( "

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