csat-suneung 2021 Q2

csat-suneung · South-Korea · csat__math-science 2 marks Trig Graphs & Exact Values
For $\theta$ satisfying $\frac { \pi } { 2 } < \theta < \pi$ and $\sin \theta = \frac { \sqrt { 21 } } { 7 }$, what is the value of $\tan \theta$? [2 points]
(1) $- \frac { \sqrt { 3 } } { 2 }$
(2) $- \frac { \sqrt { 3 } } { 4 }$
(3) 0
(4) $\frac { \sqrt { 3 } } { 4 }$
(5) $\frac { \sqrt { 3 } } { 2 }$
For $\theta$ satisfying $\frac { \pi } { 2 } < \theta < \pi$ and $\sin \theta = \frac { \sqrt { 21 } } { 7 }$, what is the value of $\tan \theta$? [2 points]\\
(1) $- \frac { \sqrt { 3 } } { 2 }$\\
(2) $- \frac { \sqrt { 3 } } { 4 }$\\
(3) 0\\
(4) $\frac { \sqrt { 3 } } { 4 }$\\
(5) $\frac { \sqrt { 3 } } { 2 }$