csat-suneung 2013 Q3

csat-suneung · South-Korea · csat__math-science 2 marks Addition & Double Angle Formulae Direct Double Angle Evaluation
When $\sin \theta = \frac { 1 } { 3 }$, what is the value of $\sin 2 \theta$? (Given that $0 < \theta < \frac { \pi } { 2 }$.) [2 points]
(1) $\frac { 7 \sqrt { 2 } } { 18 }$
(2) $\frac { 4 \sqrt { 2 } } { 9 }$
(3) $\frac { \sqrt { 2 } } { 2 }$
(4) $\frac { 5 \sqrt { 2 } } { 9 }$
(5) $\frac { 11 \sqrt { 2 } } { 18 }$
When $\sin \theta = \frac { 1 } { 3 }$, what is the value of $\sin 2 \theta$? (Given that $0 < \theta < \frac { \pi } { 2 }$.) [2 points]\\
(1) $\frac { 7 \sqrt { 2 } } { 18 }$\\
(2) $\frac { 4 \sqrt { 2 } } { 9 }$\\
(3) $\frac { \sqrt { 2 } } { 2 }$\\
(4) $\frac { 5 \sqrt { 2 } } { 9 }$\\
(5) $\frac { 11 \sqrt { 2 } } { 18 }$