Find the Exact Value of the Expression, If Possible $\cot \left( \sin ^ { - 1 } \frac { \sqrt { 2 } } { 2 } \right)$

question 208

Multiple Choice

Find the exact value of the expression, if possible. Do not use a calculator.
- $\cot \left( \sin ^ { - 1 } \frac { \sqrt { 2 } } { 2 } \right)$

• A) 1
• B) \(\sqrt { 2 }\)
• C) \(\frac { \sqrt { 2 } } { 2 }\)
• D) 2 Use a right triangle to write the expression as an algebraic expression. Assume that x is positive and in the domain of the given inverse trigonometric function.

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