Question

Find the principal value of the following:

cosec⁻¹ (2)

Answer 1

Let cosec⁻¹ (2) = y

Then, cosec y = 2 = `"cosec" (pi/6)`

We know that the range of the principal value branch of cosec⁻¹ is `[-pi/2, pi/2] - {0}`.

Therefore, the principal value of  cosec⁻¹ (2) is `pi/6`.