Question

x ∈ R :|cos (x)| ≥| sin (x) | ∩ [0, 2π] =

Options

• `[0, pi/4] ∪ [(3pi)/4, pi]`

• `[pi/4, pi/2] ∪ [(3pi)/4, pi]`

• `[0, pi/4] ∪ [(3pi)/4, 2pi]`

• `[(3pi)/4, pi] ∪ [(5pi)/2, 2pi]`

Answer 1

`[(3pi)/4, pi] ∪ [(5pi)/2, 2pi]`

Explanation:

(Bonus)

From Graph of |cos (x)| ≥ |sin (x)| ∩ [0, 2π]

`[0, pi/4] ∪ [(3pi)/4, (5pi)/4] ∪ [(7pi)/4, 2pi]`