document.write( "Question 1205304: Solve the equation cos2x + sin^2x = 4/9 to the nearest hundredth where 0 ≤ x ≤ 2π.
\n" ); document.write( "Link to equation composition: https://gyazo.com/272cf3acc8fa67872432b81fdcbebe62
\n" ); document.write( "

Algebra.Com's Answer #842006 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
\r
\n" ); document.write( "\n" ); document.write( " \"cos%282x%29+%2B+sin%5E2%28x%29+=+4%2F9\" .... where \"0+%3C=+x+%3C=+2pi\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"cos%282x%29+%2B+sin%5E2%28x%29+=+4%2F9\"\r
\n" ); document.write( "\n" ); document.write( "use identity\"+cos%282x%29=cos%5E2%28x%29+-+sin%5E2%28x%29\"\r
\n" ); document.write( "\n" ); document.write( "\"cos%5E2%28x%29+-+sin%5E2%28x%29+%2B+sin%5E2%28x%29+=+4%2F9\"\r
\n" ); document.write( "\n" ); document.write( "\"cos%5E2%28x%29+=+4%2F9\"\r
\n" ); document.write( "\n" ); document.write( "\"cos%28x%29+=sqrt+%284%2F9%29\"\r
\n" ); document.write( "\n" ); document.write( "\"cos%28x%29+=2%2F3\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "solutions in given interval:\r
\n" ); document.write( "\n" ); document.write( "\"x=cos%5E-1%282%2F3%29\"\r
\n" ); document.write( "\n" ); document.write( "\"x=0.84106867\"\r
\n" ); document.write( "\n" ); document.write( "\"x=48.19\"°\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=cos%5E-1%28-2%2F3%29\"\r
\n" ); document.write( "\n" ); document.write( "\"x=2.3005239\"\r
\n" ); document.write( "\n" ); document.write( "\"x=131.8\"°\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=2pi-cos%5E-1%282%2F3%29\"\r
\n" ); document.write( "\n" ); document.write( "\"x=5.4421166\"\r
\n" ); document.write( "\n" ); document.write( "\"x=311.81\"°\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=2pi-cos%5E-1%28-2%2F3%29\"\r
\n" ); document.write( "\n" ); document.write( "\"x=3.9826613241\"\r
\n" ); document.write( "\n" ); document.write( "\"x=228.19\"° \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );