This set of homophone pairs often leaves out pique, which often gets spelled like one of the others.
Peek: to look while trying not to be seen
Peak: the top (of a mountain or career, for instance)
Pique: to stir, usually in “pique my interest.”
Trick to Remember:
Peek has two eyes to see with.
Peak is first or best, like the letter A.
Pique is to get you interested in something quirky.