coversed sine

The coversine is a little-used entire trigonometric function defined by covers(z) | congruent | versin(1/2 π - z) | = | 1 - sin z, where versin(z) is the versine and sin z is the sine. The coversine can be extended to the complex plane as illustrated above. Its derivative is given by d/(d z) covers(z) = - cos z, and its indefinite integral by integral covers(z) d z = z + cos z + C.

covercosine | excosecant | exsecant | hacovercosine | hacoversine | havercosine | haversine | vercosine | versine