 trigonometry - Maple Help

MTM[cos], MTM[sin], ...

trigonometric functions

MTM[cosd], MTM[sind], ...

trigonometric functions in degrees

MTM[cosh], MTM[sinh], ...

hyperbolic functions

MTM[acos], MTM[asin], ...

inverse trigonometric functions

MTM[acosd], MTM[asind], ...

inverse trigonometric functions in degrees

MTM[acosh], MTM[asinh], ...

inverse hyperbolic functions Calling Sequence sin(x)  cos(x)  cot(x) csc(x) sec(x) tan(x) asin(x) acos(x) acot(x) acsc(x) asec(x) atan(x) atan(x,y) sinh(x) cosh(x) coth(x) csch(x) sech(x) tanh(x) asinh(x) acosh(x) acoth(x) acsch(x) asech(x) atanh(x) sind(x)  cosd(x)  cotd(x) cscd(x) secd(x) tand(x) asind(x) acosd(x) acotd(x) acscd(x) asecd(x) atand(x) atand(x,y) Parameters

 x - array or expression y - expression Description

 • The trigonometric functions

 cos cot csc sec sin tan

the trigonometric inverses:

 acos acot acsc asec asin atan

 • The trigonometric functions with inputs in degrees

 cosd cotd cscd secd sind tand

the trigonometric inverses in degrees:

 acosd acotd acscd asecd asind atand

hyperbolic functions:

 cosh coth csch sech sinh tanh

and inverse hyperbolic functions:

 acosh acoth acsch asech asinh atanh

will evaluate by default only when the result is an exact value, or when the input x is a floating point number.  Otherwise, for example, when x is a symbolic expression they will remain in function form so that they can be manipulated symbolically by themselves or as part of a larger expression.

 • If x is an array, the result is an elementwise mapping over x.
 • The commands cosd,cotd,cscd,secd,sind,tand accept inputs in degrees and similarly the commands acosd,acotd,acscd,asecd, asind,atand return results in degrees. All other commands require inputs or produce outputs in radians. (1 radian = 180/Pi degrees) Examples

 > $\mathrm{with}\left(\mathrm{MTM}\right):$
 > $A≔\mathrm{Array}\left(\left[0,\frac{\mathrm{\pi }}{2},\mathrm{\pi },\frac{2\mathrm{\pi }}{3},2\mathrm{\pi }\right]\right)$
 ${A}{≔}\left[\begin{array}{ccccc}{0}& \frac{{\mathrm{\pi }}}{{2}}& {\mathrm{\pi }}& \frac{{2}{}{\mathrm{\pi }}}{{3}}& {2}{}{\mathrm{\pi }}\end{array}\right]$ (1)
 > $\mathrm{sin}\left(A\right)$
 $\left[\begin{array}{ccccc}{0}& {1}& {0}& \frac{\sqrt{{3}}}{{2}}& {0}\end{array}\right]$ (2)
 > $\mathrm{expand}\left(\mathrm{sin}\left(x+y\right)\right)$
 ${\mathrm{sin}}{}\left({x}\right){}{\mathrm{cos}}{}\left({y}\right){+}{\mathrm{cos}}{}\left({x}\right){}{\mathrm{sin}}{}\left({y}\right)$ (3)
 > $\mathrm{simplify}\left({\mathrm{sin}\left(x\right)}^{2}+{\mathrm{cos}\left(x\right)}^{2}\right)$
 ${1}$ (4) Compatibility

 • The MTM[cos], MTM[cosd], MTM[cosh], MTM[acos], MTM[acosd] and MTM[acosh] commands were updated in Maple 2021.