Find the Exact Value Of $\sin 2 x$ Given That $\sec x = 3 / 2 , \csc y = 3$

question 111

Multiple Choice

Find the exact value of $\sin 2 x$ given that $\sec x = 3 / 2 , \csc y = 3$ , and x and y are in quadrant I

• A) \(\frac { \sqrt { 5 } } { 9 }\)
• B) \(\frac { 4 \sqrt { 5 } } { 3 }\)
• C) \(\frac { 3 \sqrt { 5 } } { 9 }\)
• D) \(\frac { 4 \sqrt { 5 } } { 9 }\)
• E) \(\frac { 3 \sqrt { 5 } } { 2 }\)

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