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C6rossluiliv
C6rossluiliv C6rossluiliv
  • 29-07-2016
  • Mathematics
Answered

Solve the following inequality. Express the exact answer in interval notation, restricting your attention to 0 ≤ x ≤ 2π

tan(x) ≥ 1.

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Panoyin
Panoyin Panoyin
  • 29-07-2016

tan(x) ≥ 1
tan⁻¹(tan(x)) ≥ tan⁻¹(1)
                 x ≥ 45°
                 x ≥ ¹/₄π

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Anonymous Anonymous
  • 05-08-2016

Since tan is a strictly increasing function you just need to solve the equation tan x = 1 for 0<=x<=2pi. X is pi/4 this resulting into the final answer:
x E [pi/4, 2pi]

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