Final answer:
To find tan-1(828/750), a calculator or trigonometric table is used to determine the angle whose tangent is this value. The calculated angle is then interpreted in the context of the unit circle, considering the appropriate quadrant.
Step-by-step explanation:
The student is trying to find the value of tan-1(828/750). To answer this question, we can use a scientific calculator or a trigonometric table to find the angle whose tangent is 828/750. After calculating the value, the angle is displayed in degrees. However, it's important to note that when dealing with inverse trigonometric functions, especially tangent, which is periodic, we need to consider the quadrant in which the angle lies to ensure the correct interpretation of the result.
Using a calculator, the inverse tangent of the ratio 828/750 is obtained and expressed in degrees. The angle will typically lie in the first quadrant because the ratio is positive. It's important to adjust the angle if we are looking for a specific quadrant angle. Angles are generally positive when measured counter-clockwise from the positive x-axis.