turkey-yks 2020 Q31

turkey-yks · Other · yks-ayt Trig Proofs Triangle Trigonometric Relation

In the figure, the line segments $[OA]$ and $[OD]$ intersect perpendicularly.
Accordingly, the ratio of the area of triangle OAB to the area of triangle OCD in terms of $\alpha$ is which of the following?
A) $\tan \alpha$
B) $\cot \alpha$
C) $\tan^2 \alpha$
D) $\cot^2 \alpha$
E) $\sec^2 \alpha$

In the figure, the line segments $[OA]$ and $[OD]$ intersect perpendicularly.

Accordingly, the ratio of the area of triangle OAB to the area of triangle OCD in terms of $\alpha$ is which of the following?\\
A) $\tan \alpha$\\
B) $\cot \alpha$\\
C) $\tan^2 \alpha$\\
D) $\cot^2 \alpha$\\
E) $\sec^2 \alpha$

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