Find the Exact Value of the Given Expression $\sin \left( \frac { 2 \pi } { 3 } - \frac { 5 \pi } { 4 } \right)$

question 42

Multiple Choice

Find the exact value of the given expression. $\sin \left( \frac { 2 \pi } { 3 } - \frac { 5 \pi } { 4 } \right)$

• A) \(\frac { - \sqrt { 3 } - 1 } { 2 \sqrt { 2 } }\)
• B) \(\frac { \sqrt { 3 } - 1 } { 2 \sqrt { 2 } }\)
• C) \(\frac { - \sqrt { 3 } + 1 } { 2 \sqrt { 2 } }\)
• D) \(\frac { \sqrt { 3 } + 1 } { 2 \sqrt { 2 } }\)

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