Final answer:
To determine the size of angle n, you use trigonometry by applying inverse trigonometric functions, algebraic manipulations, or vector analysis depending on the provided mathematical context and given values.
Step-by-step explanation:
To work out the size of angle n, it's necessary to use trigonometry. Trigonometry is an area of mathematics that deals with the relationships between the sides and angles of triangles. Knowing certain angles or side lengths allows you to calculate unknown measurements.
Depending on the context provided, different trigonometric functions (sine, cosine, or tangent) can be used. In one case, if you have the sine of an angle, you can find the angle itself using the inverse sine function on a calculator, often denoted as sin-1. If an expression is given such as cos 15N 1+K sin 215N, you would likely need to apply algebraic and trigonometric manipulations to solve for N.
For vector problems, if you have the components of a vector, you can determine the magnitude using the Pythagorean theorem and the angle using inverse trigonometric functions. For example, a vector -√(-14.4)² + (−√9.6)² × 10−15 N can be converted to its magnitude and direction.
When comparing angles, as with comparing the calculated angle to 48.6°, this comparison is often to determine if the results are consistent or to find the angle difference.