SOLUTION: What is the smallest positive coterminal angle of 53pi/6? Express answer in radian measure in terms of pi.

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Question 93558: What is the smallest positive coterminal angle of 53pi/6? Express answer in radian measure in terms of pi.
Answer by Edwin McCravy(20056) About Me  (Show Source):
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What is the smallest positive coterminal angle 
of 53pi/6? Express answer in radian measure in 
terms of pi.

1. divide by 2pi
2. change to mixed fraction
3. discard whole part, keep fraction part
4. multiply by 2pi


1. Divide %2853pi%29%2F6 by %282pi%29%2F1

%2853pi%29%2F6÷%282pi%29%2F1

%2853pi%29%2F6×1%2F%282pi%29

53%2F12

2. Change 53%2F12 to mixed fraction 45%2F12

3. Discard the whole number part, 4, and keep only the 
fraction part 5%2F12

4. Multiply by %282pi%29%2F1

5%2F12×%282pi%29%2F1

the 2 cancels into the 12

%285pi%29%2F6

Edwin