sfb
Find all values of t in [0, 2π] for which cot^2 t=3.



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sfb
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Comment: Use the unit circle after solving for cot t.

cwrw238
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dw:1364673366899:dw

cwrw238
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thats a 306090 degree triangle

cwrw238
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so cot t = +/ sqrt3

cwrw238
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t = 30 degrees (first quadrant)

cwrw238
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or pi/6 radians

cwrw238
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can u find all the values in the given range?

sfb
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(√3/2, 1/2)?

cwrw238
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you can draw the unit circle:
dw:1364673919061:dw

cwrw238
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the value of t in 2nd quadrant = 5pi/6 or 150 degrees ( 18030 degrees)