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Roman55 [17]
3 years ago
10

Find all solutions of the equation in the interval [0, 2π). cotθ+ √3= 0

Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
5 0

Answer:

  {5π/6, 11π/6}

Step-by-step explanation:

Since you have memorized the trig values of common angles, you know tan(π/6) = 1/√3, so cot(π/6) = √3.

The solution to this equation is ...

  cot(θ) = -√3

so θ = -π/6 or, in the domain of interest, 11π/6. There is a corresponding quadrant II angle, 5π/6.

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