Question and Answers Forum

All Questions      Topic List

Algebra Questions

Previous in All Question      Next in All Question      

Previous in Algebra      Next in Algebra      

Question Number 168881 by Eulerian last updated on 20/Apr/22

 sin(π(√(ix))) + sinh(π(√(ix))) = 0      Find all the real value/s of x.

$$\:\mathrm{sin}\left(\pi\sqrt{\mathrm{ix}}\right)\:+\:\mathrm{sinh}\left(\pi\sqrt{\mathrm{ix}}\right)\:=\:\mathrm{0} \\ $$$$\: \\ $$$$\:\mathrm{Find}\:\mathrm{all}\:\mathrm{the}\:\mathrm{real}\:\mathrm{value}/\mathrm{s}\:\mathrm{of}\:\mathrm{x}. \\ $$

Answered by MJS_new last updated on 20/Apr/22

sin t +sinh t =0 ⇒ t=0  π(√(ix))=0 ⇒ x=0

$$\mathrm{sin}\:{t}\:+\mathrm{sinh}\:{t}\:=\mathrm{0}\:\Rightarrow\:{t}=\mathrm{0} \\ $$$$\pi\sqrt{\mathrm{i}{x}}=\mathrm{0}\:\Rightarrow\:{x}=\mathrm{0} \\ $$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com