Answer:
1.42π rad
Explanation:
Principal value are known to be the largest value that can be equivalent to the trigonometry expression given.
Given
θ = arctan (3.7)
θ = 74.9°
The principal value of the angle can be found in the 3rd quadrant.
In the third quadrant, the angle gotten will become 180° + 74.9°
= 254.9°
Converting to radians
Since πrad = 180°
x = 254.9°
180x = 254.9π
x = 254.9π/180
x = 1.42π rad
The principal value of the angle is 1.42π rad.