Answer the following. (a) Find an angle between 0 and 2π that is coterminal with 23π6 . (b) Fi

Algebra
Tutor: None Selected Time limit: 1 Day

Answer the following.

(a) Find an angle between 0 and 2π that is coterminal with 23π6 . (b) Find an angle between 0° and 360° that is coterminal with −225° .

Give exact values for your answers.

Jun 10th, 2015

Thank you for the opportunity to help you with your question!


  Add to -8pi / 3 the smallest multiple of 2pi that results in a positive number:

-8pi / 3 + 4pi = 4pi / 3

  You add or subtract 2π until the answer is between 0 and 2π.
Like for a, (first change 2π to 10π/5 so it has a common denominator) 
do 19π/5 - 10π/5 = 9π/5 which is in your interval.

2π = 6π/3 so now add that to -16π/3.  You get -10π/3, still too low so add 6π/3 again.
-4π/3 still too low, do it once more
2π / 3 ok now

2π = 22π/11 so the last one is fine as is.

and 69π/2?  Well, 2π is 4π/2 and you'd have to subtract until tomorrow to get 69 down to what you want so divide by4π/2 and see what the remainder is.  69 ÷ 4 = 17 remainder 1 so you have 1π/2
or just π/2 for the answer.

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 10th, 2015

so what is the radians and degree for this problem?

Jun 10th, 2015


 π/2

Jun 10th, 2015

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