Which of the following is equivalent to csc ⁡ − 1 ( y ) \csc^{-1}\left(y\right) for y ≠ 0 y \neq 0 ?

sin ⁡ − 1 ( 1 y ) \sin^{-1}\left(\frac{1}{y}\right)

cos ⁡ − 1 ( 1 y ) \cos^{-1}\left(\frac{1}{y}\right)

tan ⁡ − 1 ( 1 y ) \tan^{-1}\left(\frac{1}{y}\right)

cot ⁡ − 1 ( 1 y ) \cot^{-1}\left(\frac{1}{y}\right)

Inverse Trigonometric Functions

0. Functions / Inverse Trigonometric Functions / Problem 3

Problem 3

Which of the following is equivalent to $\csc^{- 1} (y)$ for $y is not equal to 0$ ?

$\sin^{- 1} (\frac{1}{y})$

$\cos^{- 1} (\frac{1}{y})$

$\tan^{- 1} (\frac{1}{y})$

$\cot^{- 1} (\frac{1}{y})$