Find the Set of Values of cosec-1(√3/2)
Solution:
Given:
\[ y = \csc^{-1}\left(\frac{\sqrt{3}}{2}\right) \]
Domain condition for cosec⁻¹(x):
\[ |x| \ge 1 \]
Check the value:
\[ \frac{\sqrt{3}}{2} < 1 \]
This does not satisfy the required condition.
Therefore, cosec⁻¹(√3/2) is not defined in real numbers.
Final Answer:
Set of Values = Not defined