Formal expression of thankfulness, often used in written or official contexts.
ご支援に深く謝意を表します。
I express my deep gratitude for your support.
The company expressed its gratitude to the customers who had supported it.
Formal expression of apology; less common than 謝罪 in everyday speech, but used in official statements.
不手際について謝意を示した。
He expressed his apology for the mishandling.
The company issued a formal statement of apology regarding the accident.
He conveyed his gratitude in a letter.
I accept this award with heartfelt gratitude.
謝罪 is the standard, widely used word for apologizing, while 謝意 in its apology sense is more formal and mainly appears in official statements.
謝辞 refers to the actual words or speech of thanks delivered on a formal occasion, whereas 謝意 refers to the abstract feeling or intent of gratitude itself.
Compound of 謝 (しゃ, 'apology' or 'thanks') and 意 (い, 'mind' or 'intention'), literally meaning 'feeling of apology/gratitude'. The dual meaning reflects the kanji 謝, which can express both apology and thanks.