document.write( "Question 749108: Just started summer Trig review for pre-calc/ Calc. Could be going better.
\n" ); document.write( "I understand that S = R where S = 1, but they are using real numbers now in terms of 't' and I'm unsure. The question asks... \r
\n" ); document.write( "\n" ); document.write( "\"Sketch the oriented arc on the unit circle corresponding to each of the following real numbers.\"
\n" ); document.write( "1.) t = 3pi/4 (which I got; 135 degrees counter clockwise, Quadrant II angle)
\n" ); document.write( "2.) t = -2pi (also good; 1 full rotation clockwise, quadrilateral angle)
\n" ); document.write( "3.) t = -2 (lost me)
\n" ); document.write( "4.) t = 117 (same issue as the last). \r
\n" ); document.write( "\n" ); document.write( "-How do I handle regular old numbers in these scenarios? \n" ); document.write( "
Algebra.Com's Answer #455879 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
1.) t = 3pi/4 (which I got; 135 degrees counter clockwise, Quadrant II angle)
\n" ); document.write( "2.) t = -2pi (also good; 1 full rotation clockwise, quadrilateral angle)
\n" ); document.write( "3.) t = -2 (lost me)
\n" ); document.write( "4.) t = 117 (same issue as the last).
\n" ); document.write( "***
\n" ); document.write( "3π/4, -2π, -2, and 117 are in radians which are real numbers as you said.
\n" ); document.write( "To illustrate:
\n" ); document.write( "1.) t = 3pi/4 =2.3532..radians=135º
\n" ); document.write( "2.) t = -2pi=-6.28 radians=0
\n" ); document.write( "3.) t = -2=-2 radians=-2/π*180≈-114.59º
\n" ); document.write( "4.) t = 117=117 radians=117/π*180≈6703.61º
\n" ); document.write( "note:special angles like 30º, 60º, 45º, etc are written in terms of π for ease of calculation and explanation but angles in-between are expressed as real numbers without π.
\n" ); document.write( "Hope this helps. \n" ); document.write( "
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