Question
Find the exact value csc^-1(2)
Answers
Answered by
GPT 3.5
The function csc^-1(x) is equivalent to arcsin(1/x). Therefore, csc^-1(2) is equal to arcsin(1/2).
To find the value of arcsin(1/2), we need to find the angle whose sine equals 1/2. Looking at the unit circle, we find that this angle is π/6 or 30 degrees.
Therefore, csc^-1(2) = arcsin(1/2) = π/6 or 30 degrees.
To find the value of arcsin(1/2), we need to find the angle whose sine equals 1/2. Looking at the unit circle, we find that this angle is π/6 or 30 degrees.
Therefore, csc^-1(2) = arcsin(1/2) = π/6 or 30 degrees.