document.write( "Question 1011622: 6cos^2(x)+3sin(x)=3
\n" ); document.write( "for (0 < x < 360)\r
\n" ); document.write( "\n" ); document.write( "I've got to solution:
\n" ); document.write( "sin(x)-1=0
\n" ); document.write( "x=90\r
\n" ); document.write( "\n" ); document.write( "Or
\n" ); document.write( "2sin(x)+3=0
\n" ); document.write( "sin(x)=-3/2
\n" ); document.write( "The second solution confuses me because I can't take arc sin -3/2. I must have made a mistake somewhere. Any help please?
\n" ); document.write( "

Algebra.Com's Answer #627360 by MathTherapy(10558)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "6cos^2(x)+3sin(x)=3
\n" ); document.write( "for (0 < x < 360)\r
\n" ); document.write( "\n" ); document.write( "I've got to solution:
\n" ); document.write( "sin(x)-1=0
\n" ); document.write( "x=90\r
\n" ); document.write( "\n" ); document.write( "Or
\n" ); document.write( "2sin(x)+3=0
\n" ); document.write( "sin(x)=-3/2
\n" ); document.write( "The second solution confuses me because I can't take arc sin -3/2. I must have made a mistake somewhere. Any help please?
\n" ); document.write( "
Solve \"2+cos%5E2+%28x%29+-+sin+x+-+1+=+0\" ---------> (2 sin x + 1)(sin x - 1) = 0, to get:
\n" ); document.write( "\"highlight_green%28system%28matrix%281%2C3%2Csin+%28x%29+=+-+1%2F2%2C+or%2C+210%5Eo%29%29%29\" (3rd quadrant)
\n" ); document.write( "\"highlight_green%28system%28matrix%281%2C3%2Csin+%28x%29+=+-+1%2F2%2C+or%2C+330%5Eo%29%29%29\" (4th quadrant)
\n" ); document.write( "\"highlight_green%28system%28matrix%281%2C3%2Csin+%28x%29+=+1%2C+or%2C+90%5Eo%29%29%29\" (Positive side of y-axis) \n" ); document.write( "
\n" );