direct and inverse proportions

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What is the versine of an angle?

1 minus its cosine

What are some abbreviations used for the versine in formulas?

versin, sinver, vers, ver or siv

What is the importance of haversine in navigation?

It is of particular importance in the haversine formula of navigation

What is the Latin term for versine?

sinus versus (flipped sine), versinus, versus, or sagitta (arrow) Signup and view all the answers

What is the versine expressed in terms of common trigonometric functions?

1 - cos(x) Signup and view all the answers

Which trigonometric function is the versine related to, and what is its relationship to that function?

The versine is related to the cosine function, and it is defined as 1 minus the cosine of an angle. Signup and view all the answers

What is the significance of the haversine formula in navigation, and how is it related to the versine?

The haversine formula in navigation is important for calculating distances between two points on a sphere. The haversine, which is half of the versine, plays a crucial role in this formula. Signup and view all the answers

What are some of the abbreviations used for the versine in formulas?

The versine is symbolized in formulas using abbreviations such as versin, sinver, vers, ver, or siv. Signup and view all the answers

In what language is the versine known as the sinus versus, versinus, versus, or sagitta, and what is the significance of these names?

In Latin, the versine is known by these names, which reflect its role as the 'flipped sine' and 'arrow' in trigonometric calculations. Signup and view all the answers

What are some other related functions corresponding to the versine, and what are their abbreviations?

Other related functions include the versed cosine (or vercosine) and coversed sine (or coversine), which are abbreviated as vercosin, vercos, vcs, cosinus versus, or coversinus in Latin. Signup and view all the answers