$cosec^{-1}(cos x) $ is defined if
Answer & explanation
Correct answer: option 4
We know that $cosec^{-1}x $ is defined for x ∈ (-∞, -1] ∪ [1, ∞). Therefore, $cosec^{-1}(cos x)$ is defined for $ cos x = ± 1 ⇒$ x = n π, n ∈ Z.
$cosec^{-1}(cos x) $ is defined if
Correct answer: option 4
We know that $cosec^{-1}x $ is defined for x ∈ (-∞, -1] ∪ [1, ∞). Therefore, $cosec^{-1}(cos x)$ is defined for $ cos x = ± 1 ⇒$ x = n π, n ∈ Z.