Final answer:
To evaluate the inverse secant function, we need to find the angle whose cosine is 1/2, which is 60 degrees or π/3 radians.
Step-by-step explanation:
The notation sec^-1(2) represents the inverse function of the secant function. In this case, we are looking for the angle whose secant value is 2. To evaluate this inverse function, we need to find the angle whose cosine is 1/2.
We know that the cosine of an angle is equal to the reciprocal of the secant of that angle. So, if cos(angle) = 1/2, then sec(angle) = 2.
The angle whose cosine is 1/2 is 60 degrees or π/3 radians, so the answer is 60 degrees or π/3 radians.