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patriot [66]
3 years ago
14

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

Mathematics
1 answer:
RSB [31]3 years ago
3 0

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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Answer:

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Step-by-step explanation:

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\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

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