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17.3 Trigonometry

Octave provides the following trigonometric functions. Angles are specified in radians. To convert from degrees to radians multiply by pi/180

(e.g. sin (30 * pi/180) returns the sine of 30 degrees).

Mapping Function: sin (x)

Compute the sine of each element of x.

Mapping Function: cos (x)

Compute the cosine of each element of x.

Mapping Function: tan (z)

Compute tangent of each element of x.

Mapping Function: sec (x)

Compute the secant of each element of x.

Mapping Function: csc (x)

Compute the cosecant of each element of x.

Mapping Function: cot (x)

Compute the cotangent of each element of x.

Mapping Function: asin (x)

Compute the inverse sine of each element of x.

Mapping Function: acos (x)

Compute the inverse cosine of each element of x.

Mapping Function: atan (x)

Compute the inverse tangent of each element of x.

Mapping Function: asec (x)

Compute the inverse secant of each element of x.

Mapping Function: acsc (x)

Compute the inverse cosecant of each element of x.

Mapping Function: acot (x)

Compute the inverse cotangent of each element of x.

Mapping Function: sinh (x)

Compute the hyperbolic sine of each element of x.

Mapping Function: cosh (x)

Compute the hyperbolic cosine of each element of x.

Mapping Function: tanh (x)

Compute hyperbolic tangent of each element of x.

Mapping Function: sech (x)

Compute the hyperbolic secant of each element of x.

Mapping Function: csch (x)

Compute the hyperbolic cosecant of each element of x.

Mapping Function: coth (x)

Compute the hyperbolic cotangent of each element of x.

Mapping Function: asinh (x)

Compute the inverse hyperbolic sine of each element of x.

Mapping Function: acosh (x)

Compute the inverse hyperbolic cosine of each element of x.

Mapping Function: atanh (x)

Compute the inverse hyperbolic tangent of each element of x.

Mapping Function: asech (x)

Compute the inverse hyperbolic secant of each element of x.

Mapping Function: acsch (x)

Compute the inverse hyperbolic cosecant of each element of x.

Mapping Function: acoth (x)

Compute the inverse hyperbolic cotangent of each element of x.

Each of these functions expects a single argument. For matrix arguments, they work on an element by element basis. For example,

sin ([1, 2; 3, 4])
     =>  0.84147   0.90930
         0.14112  -0.75680

Mapping Function: atan2 (y, x)

Compute atan (y / x) for corresponding elements of y and x. The result is in the range -pi to pi.

In addition to the trigonometric functions that work with radians, Octave also provides the following functions which work with degrees.

Function File: sind (x)

Compute the sine of each element of x. Returns zero in elements for which x/180 is an integer.

See also sin, cosd, tand, acosd, asind, atand

Function File: cosd (x)

Compute the cosine of an angle in degrees. Returns zero in elements for which (x-90)/180 is an integer.

See also cos, sind, tand, acosd, asind, atand

Function File: tand (x)

Compute the tangent of an angle in degrees. Returns zero for elements of for which x/180 is an integer and Inf for elements where (x-90)/180 is an integer.

See also tan, cosd, sind, acosd, asind, atand

Function File: secd (x)

Compute the secant of an angle in degrees.

See also sec, cscd, sind, cosd

Function File: cscd (x)

Compute the cosecant of an angle in degrees.

See also csc, secd, sind, cosd

Function File: cotd (x)

Compute the cotangent of an angle in degrees.

See also cot, tand

Function File: asind (x)

Compute the inverse sine of an angle in degrees.

See also asin, sind, acosd

Function File: acosd (x)

Compute the inverse cosine of an angle in degrees.

See also acos, cosd, asecd

Function File: atand (x)

Compute the inverse tangent of an angle in degrees.

See also acot, tand

Function File: asecd (x)

Compute inverse secant in degrees.

See also asec, secd, acscd

Function File: acscd (x)

Compute the inverse cosecant of an angle in degrees.

See also acsc, cscd, asecd

Function File: acotd (x)

Compute the inverse cotangent of an angle in degrees.

See also atan, tand

ISBN 095461206X

GNU Octave Manual Version 3

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