There is a famous passage in the Gemara (Rosh Hashanah 34b) which teaches us what the Yom Tov of Rosh Hashanah is all about. The Gemara discusses the meaning of the special musaf that we say on this day, which consists of three sections: 1) מלכיות – which speaks of how Hashem is King over the universe; 2) זכרונות – which speaks of how Hashem remembers all our actions, and nothing is hidden from Him; 3) שופרות – which discusses the significance of the shofar.
The Gemara explains for us the meaning of this special prayer:
אמר הקב"ה אמרו לפני בר"ה מלכיות זכרונות ושופרות. מלכיות כדי שתמליכוני עליכם, זכרונות כדי שיבא לפני זכרוניכם לטובה, ובמה, בשופר.
The Almighty said: Say before Me on Rosh Hashanah מלכיות, זכרונות and שופרות. מלכיות so that you crown Me as King over you; זכרונות so that I remember you favorably; and with what – a shofar.
What exactly does this mean? How do we "crown" Hashem as King if he is already King? What causes Hashem to remember us favorably? And how does this connect to the shofar?
Accepting Hashem as King means accepting everything He does, even when we do not understand it. It means that we believe Hashem is here with us even when we cannot see Him; it means that we trust that He knows better even it seems to us that we know better. We crown Hashem as King by acknowledging that His will always prevails, and His will is always correct. This is the meaning of מלכיות.
If מלכיות is about Hashem always being with us, then זכרונות is about our commitment to always be with Him. The זכרונות section talks about our actions, which are all recorded and all remembered. This section, then, is about what we do, our actions, our mitzvot. It is about our unconditional commitment, our pledge to remain loyal and serve Hashem even when this is difficult.
And the symbol of this unconditional commitment is the shofar.
Earlier (16a), the Gemara says that we below the shofar – the horn of a ram – so that Hashem will remember for us אילו של יצחק, the ram which Avraham Avinu sacrificed in place of Yitzhak. Meaning, the shofar brings to mind the great merit of עקידת יצחק, of Avraham Avinu being prepared to sacrifice that which was most precious to him, and to surrender his will entirely to the will of Hashem. We show our unconditional bond to Hashem by accepting everything He does – and by accepting it upon ourselves to do everything He asks of us, even when it is difficult and demands great sacrifice.
I once saw an analogy to explain this concept.
In many areas in Europe, there was a paritz – a wealthy, powerful landowner whom the Jews rented their homes from. Many stories are told of the Jews' struggles with a ruthless, heartless paritz who cared only about money and power. But one story is told of a kind, compassionate paritz. One of his tenants was unable to pay his rent, and the paritz graciously allowed him time to pay. Several months passed, and the tenant still did not pay, but the paritz pitied him and let him to stay.
After a few months, the paritz needed to travel, and so he appointed somebody to manage his properties. This manager looked over the books and saw that there was a tenant who hadn't paid his tent in months. Enraged, he went to the tenant's home and punched him twenty times.
When the tenant recovered, he took the manager to court for assaulting him. The court ruled that since he was punched twenty times, he must be given half his house for free as compensation.
The tenant returned home, crying. He told his wife what happened in court.
"Why are you crying?" his wife asked. "We are getting half our home for free!"
"I'm crying," the husband explained, "because I was beaten only twenty times. If he had punched me forty times – we could have had our entire home for free!"
At the time he was beaten, he desperately wanted it to stop. But later, he realized how much these beatings were worth…and he even wished he had received more…
Of course, we do not want any "beatings." We ask on Rosh Hashanah for a שנה טובה ומתוקה – that the new year will be not only good, but also sweet and enjoyable. However, accepting Hashem's Kingship means acknowledging that even life's struggles are to our benefit, that He brings us challenges, and gives us mitzvot to perform which are sometimes difficult, because this is what helps us grow and achieve greatness.
When we hear the shofar on Rosh Hashanah, let us reaffirm our unconditional bond with Hashem – recognizing that everything He does is for our benefit, and committing to fulfill His will even when this requires sacrifice.