Question

what is the range of y=cosec^-1(x)​

Answer 1

$\huge { \underline{ \mathtt{ \orange{SOLUTION:-}}}}$

Derivatives of inverse trignometric function:-

$\rightarrow f(x)=cosec^-1$

$\rightarrow \: f'(x)= \frac{ - 1}{x \sqrt{ {x}^{2} - 1 } }$

$\rightarrow \: Range= |x| > 1$

Answer 2

Answer:

Explanation:the graphs of y = cosec x and y = cosec–1 x are given in Fig 2.3 (i), (ii). range could be any of the intervals [– π, 0] – { 2 −π }, [0, π] – { 2 π }, [π, 2π] – { 3 2 π } etc