In the figure, using the points $\mathrm { P } ( 0,1 )$ and $\mathrm { S } ( 1,0 )$ on the unit circle with center O and the positive directed angle $\theta$ that the line segment RO makes with the x-axis, new trigonometric functions are defined as follows: $$\begin{aligned}
& \text { kas } \theta = | \mathrm { RS } | \\
& \text { sas } \theta = | \mathrm { RP } |
\end{aligned}$$ Accordingly, $$\frac { \mathrm { kas } ^ { 2 } \theta } { 2 - \operatorname { sas } ^ { 2 } \theta }$$ For $\theta$ values where this expression is defined, which of the following is it equal to? A) $\sin ( 2 \theta )$ B) $\cos ^ { 2 } ( 2\theta )$ C) $\sec \theta$ D) $\tan \left( \frac { \theta } { 2 } \right)$
In the figure, using the points $\mathrm { P } ( 0,1 )$ and $\mathrm { S } ( 1,0 )$ on the unit circle with center O and the positive directed angle $\theta$ that the line segment RO makes with the x-axis, new trigonometric functions are defined as follows:
$$\begin{aligned}
& \text { kas } \theta = | \mathrm { RS } | \\
& \text { sas } \theta = | \mathrm { RP } |
\end{aligned}$$
Accordingly,
$$\frac { \mathrm { kas } ^ { 2 } \theta } { 2 - \operatorname { sas } ^ { 2 } \theta }$$
For $\theta$ values where this expression is defined, which of the following is it equal to?\\
A) $\sin ( 2 \theta )$\\
B) $\cos ^ { 2 } ( 2\theta )$\\
C) $\sec \theta$\\
D) $\tan \left( \frac { \theta } { 2 } \right)$