Find the Exact Value $\sin \left( \sin ^ { - 1 } \frac { 3 } { 5 } - \cos ^ { - 1 } \frac { 1 } { 2 } \right)$

question 26

Multiple Choice

Find the exact value. $\sin \left( \sin ^ { - 1 } \frac { 3 } { 5 } - \cos ^ { - 1 } \frac { 1 } { 2 } \right)$

• A) \(\frac { 3 } { 10 }\)
• B) \(\frac { 2 \sqrt { 3 } } { 5 }\)
• C) \(\frac { 3 - 4 \sqrt { 3 } } { 10 }\)
• D) \(\frac { 3 - \sqrt { 2 } } { 10 }\)
• E) \(\frac { 3 - 4 \sqrt { 3 } } { 5 }\)

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