Find the Exact Value of the Expression, If Possible $\sin ^ { - 1 } \left[ \sin \left( \frac { 4 \pi } { 7 } \right) \right]$

question 365

Multiple Choice

Find the exact value of the expression, if possible. Do not use a calculator.
- $\sin ^ { - 1 } \left[ \sin \left( \frac { 4 \pi } { 7 } \right) \right]$

• A) \(\frac { 3 \pi } { 7 }\)
• B) \(\frac { 4 \pi } { 7 }\)
• C) \(\frac { 7 } { 4 \pi }\)
• D) \(\frac { 7 } { 3 \pi }\)

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