Question

find the principal value of cosec^-1(-1)​

Answer 1

Answer:

the principal value of cosec-1 (-1) is – π/2

Let cosec-1 (-1) = y . Then, cosec y = -1

Since the range of principal value branch of y= cosec-1 x is [- π/2 , π/2] \ {0} and

Thus, the principal value of cosec-1 (-1) is – π/2 .

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