Question

f f(x) = sin^–1$\frac { - 1 } { 2 }$£ x £ 1 then f(x) =

• A. sin^–1$\frac { 1 } { 2 }$– sin^–1x
• B. sin^–1x – $\frac { \pi } { 6 }$
• C. sin^–1x + $\frac { \pi } { 6 }$
• D. None of these

Answer 1

Answer: (B)

sin^–1x – $\frac { \pi } { 6 }$

Answer 2

f(x) = sin^–1$\left( \sin \left( \theta - \frac { \pi } { 6 } \right) \right)$ (when x = sinq)

q – p/6 Ž sin^–1x–p/6