Answer
a: $sin(\frac{θ}{2})^{2}+cos(\frac{θ}{2})^{2}=1$
b: See graph below
Work Step by Step
a: We first see that the graph is in terms of sne and cosine, so we can rewrite the function as $x^{2}+y^{2}=1$, with $sin(\frac{θ}{2}) = x,$ and $cos(\frac{θ}{2}) = y,.
$sin(\frac{θ}{2})^{2}+cos(\frac{θ}{2})^{2}=1$
