Find the exact value of the real number y = csc^-1(-1)?

Solution:

Given y = csc^-1(-1)

We know that cosecx is inverse of sinx

y= cosec^-1(-1)

y = 1/ sin^-1(-1)

We have sin^-1(-1) = -π/2 = 3π/4

y = 1/3π/4

y = 4/3π

y = 0.42

The exact value of the real number for y is 0.42

Find the exact value of the real number y = csc^-1(-1)?

Summary:

The exact value of the real number y = csc^-1(-1) is 0.42