document.write( "Question 499481: Find all values of x in the interval [0, 2π] that satisfy the given equation. (Enter your answers as a comma-separated list.)\r
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document.write( "(sin x)2 − 6 cos x − 6 = 0 \n" );
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Algebra.Com's Answer #337746 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Find all values of x in the interval [0, 2π] that satisfy the given equation. (Enter your answers as a comma-separated list.) \n" ); document.write( "(sin x)2 − 6 cos x − 6 = 0 \n" ); document.write( "** \n" ); document.write( "(sin^2x − 6 cos x − 6 = 0 \n" ); document.write( "1-cos^2x-6cosx-6=0 \n" ); document.write( "cos^2x+6cosx+5=0 \n" ); document.write( "(cosx+1)(cosx+5)=0 \n" ); document.write( "cosx+5=0 \n" ); document.write( "cosx=-5 (reject, -1 ≤ cosx ≤ 1 \n" ); document.write( "cosx+1=0 \n" ); document.write( "cosx=-1 \n" ); document.write( "x=π \n" ); document.write( " |