April 29th, 2018, 02:12 PM  #1 
Senior Member Joined: Jan 2017 From: US Posts: 112 Thanks: 6  Angles Not Between 0 and 360
Hi! For one of the questions for geometry I have to name and give examples of 2 types of angles that are not between 0 and 360 degrees. I cannot find what these angles are called anywhere! Anyone have any suggestions? 
April 29th, 2018, 02:22 PM  #2  
Senior Member Joined: Jun 2015 From: England Posts: 853 Thanks: 258  Quote:
How about calculating the number of degrees a shaft revolving at 3000 rpm would turn per second? But you did mention geometry so how about an angle of 390 grads? Or perhaps the number of degrees of the four spherical triangles whose vertices meet at a point on the equator and whose other sides point North and East, North and West, South and East, South and West add up to round the point? Last edited by studiot; April 29th, 2018 at 02:41 PM.  
April 29th, 2018, 02:32 PM  #3 
Senior Member Joined: Jan 2017 From: US Posts: 112 Thanks: 6 
I don't give much context to go on, because I wasn't given any more information than that! I'm going back through my lessons but don't see anything about it. Thank you for your suggestions! 
April 29th, 2018, 06:07 PM  #4 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 13,126 Thanks: 914  
April 30th, 2018, 12:14 AM  #5 
Senior Member Joined: Nov 2010 From: Indonesia Posts: 2,000 Thanks: 132 Math Focus: Trigonometry  
April 30th, 2018, 02:23 AM  #6 
Senior Member Joined: Jun 2015 From: England Posts: 853 Thanks: 258 
Actually I fluffed the explanation of the third offer in my last post since the angles round a point still add up to 360. The thing I was trying to get over is called spherical excess, which for the triangles I mentioned is 90 degrees, making the total angles for each of those triangles 270. So, of course four such triangles contain 4*270 = 1080 degrees. Anyway here are two more offerings. The given range shows positive angles, which (presumably) conform to the conventional direction of angle specification. Simple reversing this direction allows 10 degrees to be outside the given range. arcsin (3) is a complex number {1.57 + 1.76i} which is also ouside the given range 

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