csat-suneung 2024 Q2

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