3 years ago

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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