Find the Exact Solution to the Equation Without a Calculator $$\sin ^ { - 1 } ( \sin x ) = \frac { \pi } { 6 }$$

question 459

Multiple Choice

Find the exact solution to the equation without a calculator.
- $$\sin ^ { - 1 } ( \sin x ) = \frac { \pi } { 6 }$$

• A) \(\frac { \pi } { 6 }\)
• B) \(\pi\)
• C) \(\frac { \pi } { 12 }\)
• D) 0

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Definitions:

\(- 5^n\)

Represents an exponential expression where \(-5\) is the base and \(n\) is the exponent, indicating \(-5\) raised to the power of \(n\).

\(n ^ { 2 }\)

A notation denoting a number "n" raised to the power of 2, representing the square of n.

\(n ^ { 3 }\)

Refers to cubing a number, which is raising a number to the power of three or multiplying the number by itself twice.

\(8 !\)

The factorial of 8, which is the product of all positive integers less than or equal to 8, calculated as \(8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1\).