document.write( "Question 683333: find all values of α; 0°<α<360° that satisfy 2cos2x=1 \n" ); document.write( "

Algebra.Com's Answer #423553 by lwsshak3(11628) $\"\"$ $\"About$

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find all values of α; 0°<α<360° that satisfy
\n" ); document.write( "2cos(2x)=1
\n" ); document.write( "2(1-2sin^2x)=1
\n" ); document.write( "1-2sin^2x=1/2
\n" ); document.write( "2sin^2x=1-1/2=1/2
\n" ); document.write( "sin^2x=1/4
\n" ); document.write( "sinx=1/2
\n" ); document.write( "x=30º and 150º \n" ); document.write( "

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