cosine curve vs curved shape

cosine curve and curved shape both are nouns.

Word	Noun	Adjective	Verb	Adverb
cosine curve	Yes	No	No	No
curved shape	Yes	No	No	No

As nouns, curved shape is a hypernym of cosine curve; that is, curved shape is a word with a broader meaning than cosine curve:

cosine curve: a curve whose equation in Cartesian coordinates is of the form y = a cos x.
curved shape: the trace of a point whose direction of motion changes

Other hypernyms of cosine curve include curve.

cosine curve (noun)	curved shape (noun)
a curve whose equation in Cartesian coordinates is of the form y = a cos x.	the trace of a point whose direction of motion changes