calculus

3cotx - radical 3 = 0
solve for x

please show it step by step

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asked by tom
  1. 3cotx - √3 = 0
    3cotx = = √3
    cotx = 1/√3

    Now it's time to review the "standard" angles whose trig functions are easy to remember. One of these is 60°, where

    cot60° = 1/√3

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    posted by Steve
  2. in the second step , don’t you divide by 3 on both sides ?

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    posted by tom
  3. yes. since 3=√3*√3, √3/3 √3/(√3*√3) = 1/√3

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    posted by Steve
  4. wait i’m lost
    so you get radial 3 / 3
    Then what ?

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    posted by tom
  5. ohh i see it
    cot x = radical 3 / 3

    so the tan x = 3 / radical 3
    — which is radical 3 when rationalized

    so x= pi/3? and 4pi/3?

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    posted by tom
  6. correct

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    posted by Steve

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