Looking out from a vertex with angle θ, sin(θ) is **the ratio of the opposite side to the hypotenuse**, while cos(θ) is the ratio of the adjacent side to the hypotenuse.

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## What does sin mean in physics?

We define sin(theta) as the ratio of the opposite side of the angle theta on a right triangle to the hypotenuse. We define cos(theta) as the ratio of the adjacent side of the angle theta on a right triangle to the hypotenuse.

## What is sin equal to?

Always, always, the sine of an angle is equal to the opposite side divided by the hypotenuse (opp/hyp in the diagram). The cosine is equal to the adjacent side divided by the hypotenuse (adj/hyp).

## How is sin calculated?

Sine (sin) function – Trigonometry. In a right triangle, the sine of an angle is the length of the opposite side divided by the length of the hypotenuse. In any right triangle, the sine of an angle x is the length of the opposite side (O) divided by the length of the hypotenuse (H).

## Why sine is called sine?

The word “sine” (Latin “sinus”) comes from a Latin mistranslation by Robert of Chester of the Arabic jiba, which is a transliteration of the Sanskrit word for half the chord, jya-ardha.

## How do you go from sin to CSC?

The secant of x is 1 divided by the cosine of x: sec x = 1 cos x, and the cosecant of x is defined to be 1 divided by the sine of x: csc x = 1 sin x.

## What is sin i and sin r?

If i is the angle of incidence of a ray in vacuum (angle between the incoming ray and the perpendicular to the surface of a medium, called the normal) and r is the angle of refraction (angle between the ray in the medium and the normal), the refractive index n is defined as the ratio of the sine of the angle of

## Is sin vertical or horizontal?

This page contains a more detailed examination of the behavior of the sine ( vertical component of the angle or ratio of opposite leg to hypotenuse) and cosine (horizontal component of the angle or ratio of adjacent leg to hypotenuse) functions.

## How do calculators calculate pi?

The circumference of a circle is found with the formula C= π*d = 2*π*r. Thus, pi equals a circle’s circumference divided by its diameter. Plug your numbers into a calculator: the result should be roughly 3.14.