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using the unit circle with angles measured in radians that are negative so the thing I want you to notice is that you can count around the unit circle just like you count with fractions if for example I want to count by PI over 6 notice that this is 1 PI over 6 and then if I go another 30 degrees this is 2 PI over 6 which reduces to PI over 3 and if I go another 30 degrees this is 3 PI over 6 which is PI over 2 so 1 PI over 6 2 PI over 6 3 PI over 6 right here is 4 PI over 6 which reduces to 2/3 pi or 2 PI over 6 3 and I can keep going around another 30 degrees thats 5 PI over 6 and then another 30 is 6 PI over 6 and another 30 is 7 PI over 6 so I can keep going around I can count by PI over 6 s or I can count by PI over 4 if I count by PI over 4 then this would be 1 PI over 4 here we have 2 PI over 4 which is PI over 2 here we have 3 PI over 4 and one more PI over 4 is 4 PI over 4 which is PI and I can keep going another 45 degrees is 5 PI over 4 another 45 degrees is 6 PI over 4 whi