cos(x) ≤ 0
For x in [0, 2pi), cosx ≤ 0 when pi/2 ≤ x ≤ 3pi/2.
For all real x,
cosx ≤ 0
pi/2 + 2npi ≤ x ≤ 3pi/2 + 2npi for all integers, n
Here's a visual
cos(x) is negative in 2nd and 3rd quadrants:
π/2 ≤ x ≤ 3π/2
cos(x) has period = 2π:
π/2 + 2kπ ≤ x ≤ 3π/2 + 2kπ, for any integer k
cos(x) is less than zero in the second and third quadrants.
π/2 <= x <= 3π/2
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Answers & Comments
cos(x) ≤ 0
For x in [0, 2pi), cosx ≤ 0 when pi/2 ≤ x ≤ 3pi/2.
For all real x,
cosx ≤ 0
pi/2 + 2npi ≤ x ≤ 3pi/2 + 2npi for all integers, n
Here's a visual
cos(x) is negative in 2nd and 3rd quadrants:
π/2 ≤ x ≤ 3π/2
cos(x) has period = 2π:
π/2 + 2kπ ≤ x ≤ 3π/2 + 2kπ, for any integer k
cos(x) is less than zero in the second and third quadrants.
π/2 <= x <= 3π/2