If $\theta$ is the angle between the tangents from $(-1,0)$ to the circle $x^2+y^2-5x+4y-2=0$, then $\theta$

Question

$$\begin {array} {1 1} (1)\;4 \tan^{-1} \bigg(\frac{7}{4}\bigg) & \quad (2)\;\tan^{-1} \bigg(\frac{7}{4}\bigg) \\ (3)\;2 \cot^{-1}\bigg(\frac{7}{4}\bigg) & \quad (4)\;\cot^{-1} \bigg(\frac{7}{4}\bigg) \end {array}$$