SOLUTION: solve the following: sqrt 3 csc x - 2 cot x = 0 when 0 degrees less then or equal too x less then 360 degrees. Indicate the restriction of the solution.

Question 745525: solve the following:
sqrt 3 csc x - 2 cot x = 0 when 0 degrees less then or equal too x less then 360 degrees. Indicate the restriction of the solution.

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
solve the following:
sqrt 3 csc x - 2 cot x = 0 when 0 degrees less then [sic] or equal too [sic] x less then 360 degrees. Indicate the restriction of the solution.
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It's less than, not less then.
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Write it like this:
sqrt(3)csc x - 2 cot x = 0, 0 <= x <= 360
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sqrt(3)/sin - 2(cos/sin) = 0
Multiply by sine
sqrt(3) - 2cos = 0
cos(x) = sqrt(3)/2
x = 30 degs, 330 degs

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