document.write( "Question 528285: Thanks for your guys help! Here is the problem: Sin of theta= 0.23 for 0 degrees is less than or equal to theta less than or equal to 360 degrees. Give answer to nearest degree!
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Algebra.Com's Answer #349216 by Edwin McCravy(20077) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "sin() = 0.23\r\n" );
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document.write( "There are two quadrants in which the sine is positive,\r\n" );
document.write( "I and II.  The other tutor said quadrant 4, which is wrong.\r\n" );
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document.write( "You can use a calculator to find the solution in the \r\n" );
document.write( "first quadrant between 0° and 90° which is\r\n" );
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document.write( "13.29707175°.  That's the reference angle and also\r\n" );
document.write( "the solution in the first quadrant.\r\n" );
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document.write( "To find the angle in the second quadrant which is\r\n" );
document.write( "between 90° and 180° you subtract\r\n" );
document.write( "the reference angle from 180°, or\r\n" );
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document.write( "180° - 13.29707175° = 166.7029283°\r\n" );
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document.write( "Rounding those off to the nearest degree the answers\r\n" );
document.write( "are:\r\n" );
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document.write( "13° and 167°.\r\n" );
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document.write( "Edwin

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