Trigonometry
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Trigonometry Less Common Trigonometric Functions
Trigonometry
Besides the six most common trigonometric functions, there are also
some less common or little-used trigonometric functions.
Less Common Trigonometric Functions
The list of some less common trigonometric functions:
-
Versine: Versine is the "versed sine" from one minus the co-function which
is defined as versin(θ)=vers(θ)=1-cos(θ)=2sin2(θ/2).
-
Vercosine: Vercosine is the "versed cosine" from one minus the co-function which
is defined as vercos(θ)=1+cos(θ)=2cos2(θ/2).
-
Coversine: Coversine is the "coversed sine"
from the co-function of versed sine which is defined as
covers(θ)=versin(π/2-θ)=1-sin(θ).
-
Covercosine: Covercosine is the "coversed consine"
from the co-function of versed cosine which is defined as
coverc(θ)=vercos(π/2-θ)=1+sin(θ).
-
Haversine: Haversine is the "haversed sine" or "halfed versed sine" which is
defined as haversin(θ)=versin(θ)/2=(1-cos(θ))/2=sin2(θ/2).
-
Havercosine: Havercosine is the "haversed cosine" or "halfed versed cosine"
which is defined as havercos(θ)=vercos(θ)/2=(1+cos(θ))/2.
-
Hacoversine: Hacoversine is the "hacoversed sine" or "halfed coversed sine"
which is defined as hacoversin(θ)=coversin(θ)/2=(1-sin(θ))/2.
-
Hacovercosine: Hacovercosine is the "hacoversed cosine" or "halfed coversed
cosine" which is defined as hacovercos(θ)=covercos(θ)/2=(1+sin(θ))/2.
-
Exsecant: Exsecant is the "excepted secant" outside the unit circle which is
defined as exsec(θ)=sec(θ)-1.
-
Excosecant: Excosecant is the "excepted cosecant" outside the unit circle which
is defined as excsc(θ)=csc(θ)-1.
©sideway
ID: 130700003 Last Updated: 7/2/2013 Revision: 0 Ref:

References
- B. Joseph, 1978, University Mathematics: A Textbook for Students of Science & Engineering
- Ayres, F. JR, Moyer, R.E., 1999, Schaum's Outlines: Trigonometry
- Hopkings, W., 1833, Elements of Trigonometry

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