Find the Exact Value of the Expression $$\sin ^ { - 1 } \left[ \sin \left( \frac { 6 \pi } { 7 } \right) \right]$$

question 320

Multiple Choice

Find the exact value of the expression. Do not use a calculator.
- $$\sin ^ { - 1 } \left[ \sin \left( \frac { 6 \pi } { 7 } \right) \right]$$

• A) \(\frac { \pi } { 7 }\)
• B) \(\frac { 7 } { 6 \pi }\)
• C) \(\frac { 6 \pi } { 7 }\)
• D) \(\frac { 7 } { \pi }\)

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Definitions:

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