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 #627344 by ikleyn(52921) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( " = ,\r\n" );
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document.write( " = ,\r\n" );
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document.write( " = .\r\n" );
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document.write( "Now introduce new variable y = sin(x) for brevity. The last equation takes the form\r\n" );
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document.write( " = .\r\n" );
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document.write( "Solve this quadratic equation using quadratic formula. You will get \r\n" );
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document.write( " = 1,  = .\r\n" );
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document.write( "Now you need to solve two equations for x The first one is \r\n" );
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document.write( "sin(x) = 1   -----> x =  + , k = 0, +/-1, +/-2, . . . \r\n" );
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document.write( "The second equation is \r\n" );
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document.write( "sin(x) = . Its solutions are x =  + , k = 0, +/-1, +/-2, . . . \r\n" );
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document.write( "Answer. Regarding the given interval for x, there are two solutions: x =  and x = .\r\n" );
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