villaavilajohanna villaavilajohanna
  • 21-04-2021
  • Mathematics
contestada

Solve 1/2cot(x)>=1/2 over 0<=x<=2pi

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sqdancefan
sqdancefan sqdancefan
  • 21-04-2021

9514 1404 393

Answer:

  (0, π/4] ∪ (π, 5π/4]

Step-by-step explanation:

Multiplying by 2 gives ...

  cot(x) ≥ 1

The cotangent function decreases from ∞ to 1 in the domain (0, π/4], and again in the domain (π, 5π/4]. The solution is the union of these two intervals.

  x ∈ (0, π/4] ∪ (π, 5π/4]

_____

(a, b] is interval notation for a < x ≤ b

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kellimorgan1 kellimorgan1
  • 14-10-2021

Answer: B on edge

Step-by-step explanation:

Answer Link

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