Answer
False
Work Step by Step
1. Use the cotangent to get the values of x and y
x=1 and y=2
2. Use x, y and distance formula to find the r
$r=\sqrt{1^{2}+2^{2}}=\sqrt 5$
3. Let's find cos and sin:
$\cos\theta=\frac{1}{\sqrt 5}$
$\sin\theta=\frac{2}{\sqrt 5}$
4. We can see from step (3) cosine and sine are not 1 and 2. When we divide them the root-5's cancel, then we get cotangent 1/2.