Why is cos theta taken on the x-axis?

You need to draw a picture. In math class, angles are defined in a very predetermined way. Generally, it is the angle a line makes with the x-axis, so the sine is always used to find the y coordinate, and the cosine is always used to find the x coordinate.

Is cosine always on the x-axis?

… you’ll see that all the function that go to the Y axis are “co” something (cosine, cosecant, cotangent). Looking at the same unit circle you will find that cos(θ) and sin(θ) will give the X and Y coordinates respectively for the point on the unit circle that is at θ angle from the X axis.

Is cos theta on the X or Y coordinate?

Cosine of theta is just the, is just the x-coordinate, so it’s square root of two over two. Sine of theta’s just the y-coordinate. So you see immediately that they do, they are indeed equal at that point.

Is cos theta equal to X?

cos θ is equal to the x-coördinate.

Is cosine always the X component?

no, you don’t. if you angle is defined from the +ve x-axis always, then cos will always give you the projection onto the x-axis (ie. x-comp) and sin will always give the y-comp.

Is Cos an even function?

Sine is an odd function, and cosine is an even function. You may not have come across these adjectives “odd” and “even” when applied to functions, but it’s important to know them. A function f is said to be an odd function if for any number x, f(–x) = –f(x).

What angle is cos theta?

Cos Angle Formula

θ	0°	45°
sin θ	0	1/√2
cos θ	1	1/√2
tan θ	0	1
cosec θ	Undefined	√2

Why is cos theta is cos theta?

Cos Angle Formula The Cos theta or cos θ is the ratio of the adjacent side to the hypotenuse. In the given right angle triangle A is an adjacent side, O is perpendicular and H represents the hypotenuse. The angles by which trigonometric functions can be represented are called trigonometry angles.