QuestionSolve $2 \sin 2 x=1.6, \quad 0 \leq x \leq 2 \pi$

Studdy Solution
Determine the values of $k$ such that $0 \leq x \leq 2\pi$:
For $x = 0.46365 + k\pi$:
- $k = 0$: $x = 0.46365$ - $k = 1$: $x = 0.46365 + \pi \approx 3.60524$
For $x = 1.10715 + k\pi$:
- $k = 0$: $x = 1.10715$ - $k = 1$: $x = 1.10715 + \pi \approx 4.24874$
The solutions for $x$ within the interval $0 \leq x \leq 2\pi$ are:
$$x \approx 0.46365, \, 1.10715, \, 3.60524, \, 4.24874$$