arccosd - Maple Help

sind, cosd, ...

Trigonometric functions in degrees

arcsind, arccosd, ...

Inverse trigonometric functions returning degrees

 Calling Sequence sind(x)       cosd(x)       tand(x) secd(x)       cscd(x)       cotd(x) arcsind(x)    arccosd(x)    arctand(x) arcsecd(x)    arccscd(x)    arccotd(x)

Parameters

 x - expression

Description

 • Arguments for these versions of trigonometric functions

 cosecant cosine cotangent secant sine tangent

 must be given in degrees (1 radian = 180/Pi degrees)
 Return values for these arctrigonometric functions

 arcsine arccosine arctangent arcsecant arccosecant arccotangent

 are in degrees.
 • When x is not a numeric value the returned expression will remain in the context of degrees.  Some simplifications are automatically applied to reduce output returned from direct calls to these functions, whereas the Degrees:-Simplify command must be used to evaluate and reduce expressions containing these functions.
 • These functions are part of the Degrees package, so they can be used in the short form sind(..) only after executing the command with(Degrees). However, they can always be accessed through the long form of the command by using Degrees:-sind(..).

Examples

Evaluate trigonometric expressions using degrees

 > $\mathrm{with}\left(\mathrm{Degrees}\right):$
 > $\mathrm{sind}\left(180\right)$
 ${0}$ (1)
 > $\mathrm{cosd}\left(360\right)$
 ${1}$ (2)
 > $\mathrm{secd}\left(60\right)$
 ${2}$ (3)
 > $\mathrm{arcsind}\left(1\right)$
 ${90}$ (4)

The Simplify command is needed to reduce symbolic expressions

 > $\mathrm{expr}≔{\mathrm{sind}\left(x\right)}^{2}+{\mathrm{cosd}\left(x\right)}^{2}$
 ${\mathrm{expr}}{≔}{{\mathrm{sind}}{}\left({x}\right)}^{{2}}{+}{{\mathrm{cosd}}{}\left({x}\right)}^{{2}}$ (5)
 > $\mathrm{Simplify}\left(\mathrm{expr}\right)$
 ${1}$ (6)

Compatibility

 • The sind, cosd, ... and arcsind, arccosd, ... commands were introduced in Maple 2021.