taiwan-gsat 2023 Q2

taiwan-gsat · Other · gsat__math-a 5 marks Trig Graphs & Exact Values
On the coordinate plane, a circle with center at the origin $O$ and radius 1 intersects the positive directions of the coordinate axes at points $A$ and $B$ respectively. On the circular arc in the first quadrant, a point $C$ is taken to draw a tangent line to the circle that intersects the two axes at points $D$ and $E$ respectively, as shown in the figure. Let $\angle OEC = \theta$. Select the option that represents $\tan \theta$.
(1) $\overline{OE}$
(2) $\overline{OC}$
(3) $\overline{OD}$
(4) $\overline{CE}$
(5) $\overline{CD}$
On the coordinate plane, a circle with center at the origin $O$ and radius 1 intersects the positive directions of the coordinate axes at points $A$ and $B$ respectively. On the circular arc in the first quadrant, a point $C$ is taken to draw a tangent line to the circle that intersects the two axes at points $D$ and $E$ respectively, as shown in the figure. Let $\angle OEC = \theta$. Select the option that represents $\tan \theta$.\\
(1) $\overline{OE}$\\
(2) $\overline{OC}$\\
(3) $\overline{OD}$\\
(4) $\overline{CE}$\\
(5) $\overline{CD}$