Step 1 :Given point P(-7, -2) lies on the terminal arm of an angle \(\theta\) in standard position.
Step 2 :Find the tangent of the angle \(\theta\): \(\tan(\theta) = \frac{y}{x} = \frac{-2}{-7}\)
Step 3 :Use the arctangent function to find the angle \(\theta\): \(\theta = \arctan(\frac{-2}{-7})\)
Step 4 :Since point P is in the third quadrant, add \(\pi\) to the angle to get the angle in standard position: \(\theta_{standard} = \theta + \pi\)
Step 5 :Round the answer to 4 decimal places: \(\boxed{3.4199}\)