Final answer:
The angle θ corresponds to a phase difference in an AC circuit and can be determined using trigonometric functions with attention to significant figures, which are important for all values, especially when expressing maximum voltages like VLmax in electrical systems.
Step-by-step explanation:
The question relates to finding the angle θ corresponding to the voltage VL in a physics context, specifically in the domain of electrical circuits and simple harmonic motion. When determining angles in physical systems, it is common to use the arctangent function, as indicated by 'tan¹ (-1.129)= 311.5° ≈ 312°'. The angle found often represents phase differences between voltage and current in an alternating current (AC) circuit.
To express answers with the correct number of significant figures and proper units, you should look at the precision of the given data and mathematical rules for significant figures. All intermediate calculations should retain additional significant figures to avoid rounding errors in final results.
In the case of finding the maximum value of VL, we may utilize formulas related to the maximum voltage in AC circuits, where VLmax= Aω (= amplitude multiplied by angular frequency). Here, significant figures and units are crucial for accuracy.