Verified Answer :

Answer:

The exact value of the real number y is \(y=\frac{\pi}{2}\)                      

Step-by-step explanation:

Given : Expression \(y=\csc^{-1}(1)\)

To find : The exact value of the real number y?

Solution :

We can write the expression as

\(y=\csc^{-1}(1)\)

\(\csc y=1\)

\(\frac{1}{\sin y}=1\)

\(\sin y=1\)

\(\sin y=\sin (\frac{\pi}{2})\)

\(y=\frac{\pi}{2}\)

Therefore, The exact value of the real number y is \(y=\frac{\pi}{2}\)