Question

If f(x) is defined on domain [0, 1], then f(2 sin x) is defined on

• A. $\bigcup\limits_{n∈I}${[2nπ,2nπ+π/6]$\bigcup$[2nπ+$\frac{5π}{6}$,(2n+1)π]}
• B. $\bigcup\limits_{n∈I}$[2nπ,2nπ+$\fracπ6$]
• C. $\bigcup\limits_{n∈I}$[2nπ+$\frac{5π}{6}$,(2n+1)π]
• D. None of these

Answer 1

Answer: (A)

$\bigcup\limits_{n∈I}${[2nπ,2nπ+π/6]$\bigcup$[2nπ+$\frac{5π}{6}$,(2n+1)π]}

Answer 2