信じさせようと

try to make someone believe

→ 信じる
phrase Uncommon #9,774
try to make someone believe The causative form of 信じる (to believe) combined with the volitional form and と, often followed by する: 信じさせようとする means “try to make someone believe.”
JA: 彼は私を信じさせようと、何度も説明した。
EN: He tried to make me believe him, explaining it repeatedly.

彼は彼らに自分の無実信じさせようとしたが無駄だった

He tried in vain to convince them of his innocence.

私は彼にの潔白を信じさせようと努めた

I tried to convince him of my innocence.

彼にそのことを信じさせようとしても無駄だ

It's no use trying to make him believe that.