Step 1: Understanding the Concept
Basic amino acids have an extra amino or guanidino group in the side chain. It picks up a proton at pH 7.4 and becomes positive.
Step 2: Identify them
Lysine and arginine are common basic amino acids, and histidine is the third one.
Step 3: Check the options
Aspartic acid is acidic. Methionine, proline and cysteine are neutral.
Final Answer:
The basic amino acids are lysine and arginine.
\[ \boxed{\text{(C) }\text{Lysine and arginine}} \]