Is $ sinh(x) sinh(y)=sinh(y) sinh(x)$?












3














Is $ sinh(x) sinh(y)=sinh(y) sinh(x)$? While evaluation a question on multiple integral I have got answer $4sinh(3) sinh(1)$.



It was a multiple choice questions with



a) $4sinh(3) sinh(1)$



b) $4sinh(1)sinh(3)$



I think both a and b option are correct since $sinh(1)$ ,$sinh(3)$ is multiplication of numbers it should commute but in answer option a is mention .



Am I correct both option is correct ?
If wrong please explain why ?






complex-numbers hyperbolic-geometry hyperbolic-functions multiple-integral







share|cite|improve this question




















  • 2




    You're correct. Multiplication is commutative. The question was badly designed.
    – Michael Lugo
    yesterday






  • 1




    Either that or it was a misprint or sejy misread it. From the information in the question, we cannot determine which of these three possibilities holds.
    – GEdgar
    yesterday
















3














Is $ sinh(x) sinh(y)=sinh(y) sinh(x)$? While evaluation a question on multiple integral I have got answer $4sinh(3) sinh(1)$.



It was a multiple choice questions with



a) $4sinh(3) sinh(1)$



b) $4sinh(1)sinh(3)$



I think both a and b option are correct since $sinh(1)$ ,$sinh(3)$ is multiplication of numbers it should commute but in answer option a is mention .



Am I correct both option is correct ?
If wrong please explain why ?






complex-numbers hyperbolic-geometry hyperbolic-functions multiple-integral







share|cite|improve this question




















  • 2




    You're correct. Multiplication is commutative. The question was badly designed.
    – Michael Lugo
    yesterday






  • 1




    Either that or it was a misprint or sejy misread it. From the information in the question, we cannot determine which of these three possibilities holds.
    – GEdgar
    yesterday














3












3








3







Is $ sinh(x) sinh(y)=sinh(y) sinh(x)$? While evaluation a question on multiple integral I have got answer $4sinh(3) sinh(1)$.



It was a multiple choice questions with



a) $4sinh(3) sinh(1)$



b) $4sinh(1)sinh(3)$



I think both a and b option are correct since $sinh(1)$ ,$sinh(3)$ is multiplication of numbers it should commute but in answer option a is mention .



Am I correct both option is correct ?
If wrong please explain why ?






complex-numbers hyperbolic-geometry hyperbolic-functions multiple-integral







share|cite|improve this question















Is $ sinh(x) sinh(y)=sinh(y) sinh(x)$? While evaluation a question on multiple integral I have got answer $4sinh(3) sinh(1)$.



It was a multiple choice questions with



a) $4sinh(3) sinh(1)$



b) $4sinh(1)sinh(3)$



I think both a and b option are correct since $sinh(1)$ ,$sinh(3)$ is multiplication of numbers it should commute but in answer option a is mention .



Am I correct both option is correct ?
If wrong please explain why ?






complex-numbers hyperbolic-geometry hyperbolic-functions multiple-integral




complex-numbers hyperbolic-geometry hyperbolic-functions multiple-integral






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited yesterday

























asked yesterday









sejy

1149




1149








  • 2




    You're correct. Multiplication is commutative. The question was badly designed.
    – Michael Lugo
    yesterday






  • 1




    Either that or it was a misprint or sejy misread it. From the information in the question, we cannot determine which of these three possibilities holds.
    – GEdgar
    yesterday














  • 2




    You're correct. Multiplication is commutative. The question was badly designed.
    – Michael Lugo
    yesterday






  • 1




    Either that or it was a misprint or sejy misread it. From the information in the question, we cannot determine which of these three possibilities holds.
    – GEdgar
    yesterday








2




2




You're correct. Multiplication is commutative. The question was badly designed.
– Michael Lugo
yesterday




You're correct. Multiplication is commutative. The question was badly designed.
– Michael Lugo
yesterday




1




1




Either that or it was a misprint or sejy misread it. From the information in the question, we cannot determine which of these three possibilities holds.
– GEdgar
yesterday




Either that or it was a misprint or sejy misread it. From the information in the question, we cannot determine which of these three possibilities holds.
– GEdgar
yesterday










1 Answer
1






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Yes: $sinh:mathbb{C}to mathbb{C}$ so that $sinh(x),sinh(y)in mathbb{C}$. Thus, by commutativity of multiplication in $mathbb{C}$, $sinh(x)sinh(y)=sinh(y)sinh(x)$ for any $x,yin mathbb{C}$.






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    Yes: $sinh:mathbb{C}to mathbb{C}$ so that $sinh(x),sinh(y)in mathbb{C}$. Thus, by commutativity of multiplication in $mathbb{C}$, $sinh(x)sinh(y)=sinh(y)sinh(x)$ for any $x,yin mathbb{C}$.






    share|cite|improve this answer




























      3














      Yes: $sinh:mathbb{C}to mathbb{C}$ so that $sinh(x),sinh(y)in mathbb{C}$. Thus, by commutativity of multiplication in $mathbb{C}$, $sinh(x)sinh(y)=sinh(y)sinh(x)$ for any $x,yin mathbb{C}$.






      share|cite|improve this answer


























        3












        3








        3






        Yes: $sinh:mathbb{C}to mathbb{C}$ so that $sinh(x),sinh(y)in mathbb{C}$. Thus, by commutativity of multiplication in $mathbb{C}$, $sinh(x)sinh(y)=sinh(y)sinh(x)$ for any $x,yin mathbb{C}$.






        share|cite|improve this answer














        Yes: $sinh:mathbb{C}to mathbb{C}$ so that $sinh(x),sinh(y)in mathbb{C}$. Thus, by commutativity of multiplication in $mathbb{C}$, $sinh(x)sinh(y)=sinh(y)sinh(x)$ for any $x,yin mathbb{C}$.







        share|cite|improve this answer














        share|cite|improve this answer



        share|cite|improve this answer








        edited yesterday

























        answered yesterday









        Antonios-Alexandros Robotis

        9,40741640




        9,40741640






























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