Why don't you try another approach," suggested the drama coach. "perhaps the character should be played more humorously." Which words should be capitalized?

The words 'Drama' and 'Perhaps' should be capitalized

Explanation:

Capitalization is the art of writing the first letter of a word in capital letters. Capitalization is often used to denote the start of a new sentence; in which case, the first word of that new sentence is capitalized.

Capital letters are also used as the first letters of proper nouns, which are the names of people, animals, places or things. The days of the week or months (for example Tuesday or October) also begin with capital letters.

From the text, the following words should be capitalized:

1) Drama:  The word 'drama' is a proper noun hence it should be capitalized.

2) Perhaps: The word 'perhaps' comes after full-stop punctuation in the given sentence. It denotes the beginning of a new sentence or line of thought. Therefore, it should be capitalized.

In conclusion, our text should therefore  look like this:

'Why don't you try another approach, suggested the Drama coach. Perhaps the character should be played more humorously."