Trigonometric functions (sine, cosine, tangent, cotangent), their properties and graphs: periodicity, even/odd

Trigonometric functions of a real argument

In Grade 10 $\sin x$ , $\cos x$ , $\tan x$ , $\cot x$ are treated as functions of a real argument $x$ (in radians unless stated otherwise): each $x$ is assigned a value from the unit circle — the endpoint of an arc of length $|x|$ from $(1;0)$ (with sign for rotation direction). Then $\sin x$ and $\cos x$ are the y- and x-coordinates of that point; $\tan x$ and $\cot x$ are ratios of the coordinates (where defined).

The argument $x$ is a number on the circle (radians), not only an acute angle in a triangle

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