Final answer:
The exact value of the expression arccos(2) is impossible, as the value is outside the range of the cosine function. However, arccos(2/2) simplifies to arccos(1), which has an exact value of 0 degrees/radians.
Step-by-step explanation:
The exact value of the expression arccos(2) is impossible, as the value is outside the range of the cosine function. However, arccos(2/2) simplifies to arccos(1), which has an exact value of 0 degrees/radians.
The student's question involves finding the exact value of the expression involving arccos. The arccos function, also known as the inverse cosine function, returns the angle whose cosine is a given number. Hence, we can only find the arccos of a number if the value lies within the range -1 to 1, because those are the possible values for the cosine of an angle in a right-angled triangle.
The option B) arccos(2) is impossible because 2 is not within the range of -1 to 1. The option C) arccos(2/2) simplifies to arccos(1), and the exact value of arccos(1) is 0 degrees or 0 radians, since cosine of 0 degrees (or 0 radians) is 1. This corresponds with option D). Therefore, the exact value of the expression is 0 degrees/radians.