To find the exact value of the real number y where y = csc(11), we first need to understand what csc means. The cosecant function (csc) is the reciprocal of the sine function. Thus, we have:
y = csc(11) = 1 / sin(11)
Next, we need to calculate sin(11 degrees). Since 11 degrees is not a value for which we typically have a simple exact sine value, we can look up the value using a calculator:
sin(11 degrees) ≈ 0.1908
Now, we substitute this value into our equation for y:
y ≈ 1 / 0.1908 ≈ 5.24
Therefore, the exact value of y is approximately 5.24. Finally, it is important to note that this is approximate due to the nature of the sine function at non-standard angles.