document.write( "Question 1121665: Sin theta . Cos theta = 1/2. Solve the following equation for 0< or equal to x < or equal to 2π \n" ); document.write( "

Algebra.Com's Answer #737660 by ikleyn(52803) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "sin(x)*cos(x) =    ====>  multiply by 2 both sides  ====>\r\n" );
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document.write( "2sin(x)*cos(x) = 1  ====>  apply the formula  2sin(x)*cos(x) = sin(2x)  ====>\r\n" );
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document.write( "sin(2x) = 1  ====>\r\n" );
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document.write( "The solutions are   2x = ,   2x = .\r\n" );
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document.write( "First solution gives  x = .\r\n" );
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document.write( "Second solution gives  x = .\r\n" );
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document.write( "Answer.  The original equation has two solutions  x =   and  x = .\r\n" );
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