真诚相信 meaning in English

in the honest belief that

The customer agrees to hold the bank harmless and to keep the bank indemnified against any loss whatsoever which it may suffer as a result of acting on telephone or telefax communications which the bank reasonably believes in good faith to have been given on behalf of the customer and agrees to perform and ratify any contract entered into or action taken by the bank as a result of such communications
对于本行因根据其合理地真诚相信是代表客户发出之电话或电传通讯而行事所蒙受之任何损失，客户同意使本行免受损失及全数弥偿本行的损失，并且同意履行及追认本行因该等通讯而订立之任何合约或采取之行动。
In order to continue efforts by past french presidents to build an eu tradition in france , sarkozy has repeatedly emphasized “ i have been a european my whole life , and sincerely believe in the integration of the eu . ” but he also said “ i beseech our european partners not to turn a deaf ear to the dissatisfaction the people have toward eu policy . ” consequently , sarkozy will work with germany and other eu leaders in once again simplifying the eu constitution draft
为了持续法国历任总统致力于欧盟建设的传统，萨克兹再三强调：我这一生一直是欧洲人，我从内心就真诚相信欧盟的整合建设，但是他也说：我请求我的欧洲伙伴不要将人民对欧盟政策的不满装聋作哑。