.. function:: Sin(x) trigonometric sine function :Example: :: In> Sin(1) Out> Sin(1); In> N(Sin(1),20) Out> 0.84147098480789650665; In> Sin(Pi/4) Out> Sqrt(2)/2; .. seealso:: :func:`Cos`, :func:`Tan`, :func:`ArcSin`, :func:`ArcCos`, :func:`ArcTan`, :const:`Pi`
.. function:: Cos(x) trigonometric cosine function :Example: :: In> Cos(1) Out> Cos(1); In> N(Cos(1),20) Out> 0.5403023058681397174; In> Cos(Pi/4) Out> Sqrt(1/2); .. seealso:: :func:`Sin`, :func:`Tan`, :func:`ArcSin`, :func:`ArcCos`, :func:`ArcTan`, :const:`Pi`
.. function:: Tan(x) trigonometric tangent function :Example: :: In> Tan(1) Out> Tan(1); In> N(Tan(1),20) Out> 1.5574077246549022305; In> Tan(Pi/4) Out> 1; .. seealso:: :func:`Sin`, :func:`Cos`, :func:`ArcSin`, :func:`ArcCos`, :func:`ArcTan`, :const:`Pi`
.. function:: ArcSin(x) inverse trigonometric function arc-sine :Example: :: In> ArcSin(1) Out> Pi/2; In> ArcSin(1/3) Out> ArcSin(1/3); In> Sin(ArcSin(1/3)) Out> 1/3; In> x:=N(ArcSin(0.75)) Out> 0.848062; In> N(Sin(x)) Out> 0.7499999477; .. seealso:: :func:`Sin`, :func:`Cos`, :func:`Tan`, :const:`Pi`, :func:`Ln`, :func:`ArcCos`, :func:`ArcTan`
.. function:: ArcCos(x) inverse trigonometric function arc-cosine :Example: :: In> ArcCos(0) Out> Pi/2 In> ArcCos(1/3) Out> ArcCos(1/3) In> Cos(ArcCos(1/3)) Out> 1/3 In> x:=N(ArcCos(0.75)) Out> 0.7227342478 In> N(Cos(x)) Out> 0.75 .. seealso:: :func:`Sin`, :func:`Cos`, :func:`Tan`, :const:`Pi`, :func:`Ln`, :func:`ArcSin`, :func:`ArcTan`
.. function:: ArcTan(x) inverse trigonometric function arc-tangent :Example: :: In> ArcTan(1) Out> Pi/4 In> ArcTan(1/3) Out> ArcTan(1/3) In> Tan(ArcTan(1/3)) Out> 1/3 In> x:=N(ArcTan(0.75)) Out> 0.643501108793285592213351264945231378078460693359375 In> N(Tan(x)) Out> 0.75 .. seealso:: :func:`Sin`, :func:`Cos`, :func:`Tan`, :const:`Pi`, :func:`Ln`, :func:`ArcSin`, :func:`ArcCos`
.. function:: Exp(x) exponential function :Example: :: In> Exp(0) Out> 1; In> Exp(I*Pi) Out> -1; In> N(Exp(1)) Out> 2.7182818284; .. seealso:: :func:`Ln`, :func:`Sin`, :func:`Cos`, :func:`Tan`
.. function:: Ln(x) natural logarithm :Example: :: In> Ln(1) Out> 0; In> Ln(Exp(x)) Out> x; In> D(x) Ln(x) Out> 1/x; .. seealso:: :func:`Exp`, :func:`Arg`
.. function:: Sqrt(x) square root :Example: :: In> Sqrt(16) Out> 4; In> Sqrt(15) Out> Sqrt(15); In> N(Sqrt(15)) Out> 3.8729833462; In> Sqrt(4/9) Out> 2/3; In> Sqrt(-1) Out> Complex(0,1); .. seealso:: :func:`Exp`, :func:`^`
.. function:: Abs(x) absolute value or modulus of complex number :Example: :: In> Abs(2); Out> 2; In> Abs(-1/2); Out> 1/2; In> Abs(3+4*I); Out> 5; .. seealso:: :func:`Sign`, :func:`Arg`
.. function:: Sign(x) sign of a number :Example: :: In> Sign(2) Out> 1; In> Sign(-3) Out> -1; In> Sign(0) Out> 1; In> Sign(-3) * Abs(-3) Out> -3; .. seealso:: :func:`Arg`, :func:`Abs`