Elementary Functions - 4.15 Graphics

DLMF	Formula	Constraints	Maple	Mathematica	Symbolic Maple	Symbolic Mathematica	Numeric Maple	Numeric Mathematica
4.15.E1	${\displaystyle{\displaystyle\cos\left(x+iy\right)=\sin\left(x+\tfrac{1}{2}\pi+iy\right)}}$ \cos@{x+iy} = \sin@{x+\tfrac{1}{2}\pi+iy}		cos(x + I*y) = sin(x +(1)/(2)*Pi + I*y)	Cos[x + I*y] == Sin[x +Divide[1,2]*Pi + I*y]	Successful	Successful	-	Successful [Tested: 18]
4.15.E2	${\displaystyle{\displaystyle\cot\left(x+iy\right)=-\tan\left(x+\tfrac{1}{2}\pi+iy\right)}}$ \cot@{x+iy} = -\tan@{x+\tfrac{1}{2}\pi+iy}		cot(x + I*y) = - tan(x +(1)/(2)*Pi + I*y)	Cot[x + I*y] == - Tan[x +Divide[1,2]*Pi + I*y]	Successful	Successful	-	Successful [Tested: 18]
4.15.E3	${\displaystyle{\displaystyle\sec\left(x+iy\right)=\csc\left(x+\tfrac{1}{2}\pi+iy\right)}}$ \sec@{x+iy} = \csc@{x+\tfrac{1}{2}\pi+iy}		sec(x + I*y) = csc(x +(1)/(2)*Pi + I*y)	Sec[x + I*y] == Csc[x +Divide[1,2]*Pi + I*y]	Successful	Successful	-	Successful [Tested: 18]