document.write( "Question 1172631: https://imgur.com/a/GwImNIP
\n" ); document.write( "HI!hope you can help me
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Algebra.Com's Answer #797720 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
number 4:
\n" ); document.write( "the angle is 11pi/12
\n" ); document.write( "to convert that to degree measure, multiply it by 180/pi.
\n" ); document.write( "you will get 11pi/12 * 180/pi = 11/12 * 180 = 165 degrees.
\n" ); document.write( "that is an angle in the second quadrant.
\n" ); document.write( "number 5:
\n" ); document.write( "the reference angle would be 180 - 165 = 15 degrees.
\n" ); document.write( "number 6:
\n" ); document.write( "to find the negative coterminal angle of it, subtract 360 from it to get 165 - 360 = -195 degrees.\r
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\n" ); document.write( "\n" ); document.write( "number 7:
\n" ); document.write( "to find the positive coterminal angle, add 360 to it to get -85 + 360 = 275 degrees.
\n" ); document.write( "number 8:
\n" ); document.write( "275 degrees is in the 4th quadrant.
\n" ); document.write( "to find the reference angle, subtract it from 360 degrees to get 360 - 275 = 85 degrees.
\n" ); document.write( "number 9:
\n" ); document.write( "to find the radian measure of it, multiply it by pi/180 to get:
\n" ); document.write( "275 * pi/180 = 275/180 * pi = 55/36 * pi = 55pi/36.\r
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\n" ); document.write( "\n" ); document.write( "number 10:
\n" ); document.write( "you are given that the reference angle is 25 degrees.
\n" ); document.write( "you don't really have enough information to figure out what the angle is.
\n" ); document.write( "it could be in the first, second, third, or fourth quadrant.
\n" ); document.write( "if in the first quadrant, the angle would be 25 degrees.
\n" ); document.write( "if in the second quadrant, the angle would be 180 - 25 = 155 degrees.
\n" ); document.write( "if in the third quadrant, the angle would be 180 + 25 = 205 degrees.
\n" ); document.write( "if in the fourth quadrant, the angle would be 360 - 25 = 335 degrees.
\n" ); document.write( "assume the angle is in the first quadrant and your answer will be 25 degrees, the same as the reference angle.
\n" ); document.write( "number 11:
\n" ); document.write( "to find the negative coterminal angle, subtract 360 from it to get -335 degrees.
\n" ); document.write( "number 12:
\n" ); document.write( "the equivalent angle in radians will be 25 * pi/180 = 25/180 * pi = 5/36 * pi = 5pi/36.\r
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\n" ); document.write( "\n" ); document.write( "i reproduced your table below.
\n" ); document.write( "here's what it looks like.\r
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\n" ); document.write( "\n" ); document.write( "in general, the rules are:\r
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\n" ); document.write( "\n" ); document.write( "to convert from radians to degrees, multiply the angle by 180 / pi.\r
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\n" ); document.write( "\n" ); document.write( "to convert from degrees to radians, multiply the angle by pi / 180.\r
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\n" ); document.write( "\n" ); document.write( "to find the reference angle, you need to convert your angle to an equivalent angle between 0 and 360 degrees.\r
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\n" ); document.write( "\n" ); document.write( "if the angle is a positive angle greater than 360 degrees, just keep subtracting 360 from it until it gets between 0 and 360 degrees.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "if the angle is a negative angle, just keep adding 360 to it until it gets between 0 and 360 degrees.\r
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\n" ); document.write( "\n" ); document.write( "once the angle is between 0 and 360 degrees, do the following to find the reference angle.\r
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\n" ); document.write( "\n" ); document.write( "if the angle is in the first quadrant between 0 and 90 degrees, leave it as is.
\n" ); document.write( "if the angle is in the second quadrant between 90 and 180 degrees, subtract it from 180.
\n" ); document.write( "if the angle is in the third quadrant between 180 and 270 degrees, subtract 180 from it.
\n" ); document.write( "if the angle is in the fourth quadrant between 270 and 360 degrees, subtract it from 360.\r
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