Trigonometrik Değerler ve Birim Çember

30. Aşağıda, O merkezli ve yarıçapı 1 birim olan çeyrek çember ile OAB ve ODC dik üçgenleri gösterilmiştir. A ve C noktaları hem OAB üçgeninin hem de çeyrek çemberin üzerindedir.

[Görsel]

Buna göre $|BC|$ uzunluğunun x türünden eşiti aşağıdakilerden hangisidir?

A) $\sec x - 1$

B) $\operatorname{cosec} x - 1$

C) $\tan x + 1$

D) $\cot x + 1$

E) $\sin x + 1$

Soruda görsel içerik var: A coordinate system with the origin $O(0,0)$ is shown. A quarter unit circle is drawn in the first quadrant, starting at $(0,1)$ and ending at $(1,0)$. Point $C$ lies on the circle. A right triangle $ODC$ is formed with $D$ on the x-axis, and another right triangle $OAB$ is formed with $A$ on the x-axis. Angle $\angle COA$ is denoted as $x$. $C$ is on the segment $OB$. The segment $|BC|$ is the upper part of the hypotenuse of the large triangle $OAB$ minus the segment $OC$ which is the radius of the circle.