# Calculus: Other Calculus Problems – #28065

Question: Consider the function $$f:\mathbb{R}\to {{\mathbb{R}}^{3}}$$ defined by

$f\left( \theta \right)=\left( \cos \theta ,\sin \theta ,\theta \right)$

(a) What kind of picture do you obtain when you sketch the image of f in $${{\mathbb{R}}^{3}}$$ ?

(b) Is this function continuous? You may assume that the elementary functions sin and cos are continuous.