Which of the following is the principal value branch of cosec-1 x?

Question

Which of the following is the principal value branch of cosec-1 x? (A)  ((-π/2), (π /2))  (B) (0, π)- (π/2)  (C)  [(-π/2), (π /2)]  (D)  [(-π/2), (π /2)] - 0

Tardigrade Admin · Accepted Answer

Principal value branch of cosec-1x is [(-π/2), (π /2)] - 0

Q. Which of the following is the principal value branch of $cose c^{- 1} x$ ?

$(\frac{- π}{2}, \frac{π}{2})$

$(0, π) - {\frac{π}{2}}$

$[\frac{- π}{2}, \frac{π}{2}]$

$[\frac{- π}{2}, \frac{π}{2}] - {0}$

Principal value branch of $cose c^{- 1} x$ is $[\frac{- π}{2}, \frac{π}{2}] - {0}$

Q. Which of the following is the principal value branch of cosec−1x?

(2−π​,2π​)

(0,π)−{2π​}

[2−π​,2π​]

[2−π​,2π​]−{0}