I remembered that there are multiple Greek words used for…

I remembered that there are multiple Greek words used for the word “love.” So I looked up the word and it appears as “agape,” or Godly unconditional love. With this in mine, why is love trusting? I love my daughter, but I don’t trust her. Since God knows we are not perfect, I can’t help but to think that He knows when we are lying to Him. So what does trusting mean with a Godly love?