document.write( "Question 1203354: Find the reference angle for -1060 degrees. \n" ); document.write( "
Algebra.Com's Answer #838845 by math_tutor2020(3817)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Answer: 20 degrees\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Explanation\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The angle -1060 is not between 0 and 360.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We need to add 360 to it repeatedly until we get inside this interval.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-1060+360 = -700 \n" ); document.write( "-700+360 = -340 \n" ); document.write( "-340+360 = 20\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Or you can do this slight shortcut \n" ); document.write( "-1060+3*360 = 20\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Therefore, angles -1060 degrees and 20 degrees are coterminal. \n" ); document.write( "They point in the same direction.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Because we ended up with a result in the interval 0 < x < 90, we don't need to do any more adjustments to get the reference angle. \n" ); document.write( "This reference angle is in the first quadrant. \n" ); document.write( "If we ended up in another quadrant, then we'd have to do a slight adjustment to it. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "20 degrees is the final answer. \n" ); document.write( " \n" ); document.write( " |