Answer
$\theta\approx$4.4 rad,
$ \theta\approx$5.0 rad
Work Step by Step
For any real number $s$ represented by a directed arc on the unit circle,
$\sin s=y\quad \cos s=x \quad \displaystyle \tan s=\frac{y}{x} (x\neq 0)$
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On the unit circle, 2 points have y-coordinates equal to $-0.95$.
These are encircled on the image below.
These points represent directed arcs for angles
$\theta\approx$4.4 rad,
$ \theta\approx$5.0 rad