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sfb

  • 2 years ago

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

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  1. sfb
    • 2 years ago
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    Comment: Use the unit circle after solving for cot t.

  2. cwrw238
    • 2 years ago
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    |dw:1364673366899:dw|

  3. cwrw238
    • 2 years ago
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    thats a 30-60-90 degree triangle

  4. cwrw238
    • 2 years ago
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    so cot t = +/- sqrt3

  5. cwrw238
    • 2 years ago
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    t = 30 degrees (first quadrant)

  6. cwrw238
    • 2 years ago
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    or pi/6 radians

  7. cwrw238
    • 2 years ago
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    can u find all the values in the given range?

  8. sfb
    • 2 years ago
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    (√3/2, 1/2)?

  9. cwrw238
    • 2 years ago
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    you can draw the unit circle: |dw:1364673919061:dw|

  10. cwrw238
    • 2 years ago
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    the value of t in 2nd quadrant = 5pi/6 or 150 degrees ( 180-30 degrees)

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