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Question Number 138236 by mohammad17 last updated on 11/Apr/21

prove that     (e^(−2y) /(1+e^(−2y) ))<∣tan(z) − i∣<(e^(−2y) /(1−e^(−2y) ))   ,y>0    how can solve this ?

$${prove}\:{that}\: \\ $$ $$ \\ $$ $$\frac{{e}^{−\mathrm{2}{y}} }{\mathrm{1}+{e}^{−\mathrm{2}{y}} }<\mid{tan}\left({z}\right)\:−\:{i}\mid<\frac{{e}^{−\mathrm{2}{y}} }{\mathrm{1}−{e}^{−\mathrm{2}{y}} }\:\:\:,{y}>\mathrm{0} \\ $$ $$ \\ $$ $${how}\:{can}\:{solve}\:{this}\:? \\ $$

Commented bymr W last updated on 11/Apr/21

you can not compare two complex  numbers. do you mean ∣tan(z) − i∣?

$${you}\:{can}\:{not}\:{compare}\:{two}\:{complex} \\ $$ $${numbers}.\:{do}\:{you}\:{mean}\:\mid{tan}\left({z}\right)\:−\:{i}\mid? \\ $$

Commented bymohammad17 last updated on 11/Apr/21

yes yes sory sir

$${yes}\:{yes}\:{sory}\:{sir} \\ $$

Commented bymohammad17 last updated on 11/Apr/21

can you solve this sir

$${can}\:{you}\:{solve}\:{this}\:{sir} \\ $$

Commented bymr W last updated on 11/Apr/21

with z=x+yi ?

$${with}\:{z}={x}+{yi}\:? \\ $$

Commented bymohammad17 last updated on 11/Apr/21

yes sir can you help me please

$${yes}\:{sir}\:{can}\:{you}\:{help}\:{me}\:{please} \\ $$

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