Cosinus versus


The goniometric circle with the cosine vs. versus (the small light blue line above the sinus).

The cosine versus or coverinus, denoted by coversin, of an acute angle θ in a rectangular triangle is a goniometric function, defined as follows: coversin ( θ ) = 1 & # x2212; without ⁡ ( θ ) {\displaystyle {\textrm {coversin}}(\theta )=1-\sin(\theta )\,}

The cosine versus was used in the astronomy, navigation science, and mathematics in the bold triangular measurement. Now he is rarely used, which is his main reason in computer technology. Goniometric tables became superfluous and thus all functions that, like the cosine vs., could easily be derived from other functions (in this case the sinus).

The relation between the sinus versus and the cosine versus can be expressed as follows: coversin ( θ ) = give ( π 2 & # x2212; θ ) {\displaystyle {\textrm {coversin}}(\theta )={\textrm {versin}}\left({\frac {\pi }{2}}-\theta \right)\,}

The cosine versus is thus the sinus versus the complementary angle π 2 & # x2212; θ {\displaystyle {\frac {\pi }{2}}-\theta \,} .

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