anonymous
  • anonymous
Find all values of t in [0, 2π] for which cot^2 t=3.
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
Comment: Use the unit circle after solving for cot t.
cwrw238
  • cwrw238
|dw:1364673366899:dw|
cwrw238
  • cwrw238
thats a 30-60-90 degree triangle

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cwrw238
  • cwrw238
so cot t = +/- sqrt3
cwrw238
  • cwrw238
t = 30 degrees (first quadrant)
cwrw238
  • cwrw238
or pi/6 radians
cwrw238
  • cwrw238
can u find all the values in the given range?
anonymous
  • anonymous
(√3/2, 1/2)?
cwrw238
  • cwrw238
you can draw the unit circle: |dw:1364673919061:dw|
cwrw238
  • cwrw238
the value of t in 2nd quadrant = 5pi/6 or 150 degrees ( 180-30 degrees)

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