Trigonometric Function Identification on Unit Circle

3.

[Visual Representation: A unit circle with a tangent line at $x=1$ and $y=1$. Intersection point $C$ is $(1,1)$. Angle $\alpha$ is $m(\widehat{AOC})$.]

Dik koordinat düzleminde $x=1$ doğrusu $A(1,0)$ ve $y=1$ doğrusu $B(0,1)$ noktasında O merkezli birim çembere teğettir.

$m(\widehat{AOC}) = \alpha$ olduğuna göre,

I. $\sin \alpha = \frac{\sqrt{2}}{2}$ dir.

II. $\cos \alpha = \frac{\sqrt{2}}{2}$ dir.

III. $\tan \alpha = 1$ dir.

IV. $\cot \alpha = 1$ dir.

V. $\sec \alpha = \csc \alpha$ dır.

ifadelerinden kaç tanesi doğrudur?

A) 1 B) 2 C) 3 D) 4 E) 5

Soruda görsel içerik var: The image shows question 3. There is a unit circle centered at O(0,0) in the Cartesian plane. A horizontal line y=1 is tangent to the circle at B(0,1), and a vertical line x=1 is tangent to the circle at A(1,0). A line segment OC extends from the origin through the quadrants, crossing the circle and intersecting point C, which is the intersection of lines x=1 and y=1. An angle alpha is marked between the x-axis and the line segment OC at the origin, with the C point labeled. The lines and points are clearly marked with their coordinates.