an angle in standard position measures $\frac{pi}{2}$ radians, and $p(0, 1)$ is on the terminal side of the…

Explanation:

Step1: Recall cosine - angle formula

The cosine of an angle $\theta$ in standard position with a point $P(x,y)$ on its terminal - side is given by $\cos\theta=\frac{x}{r}$, where $r = \sqrt{x^{2}+y^{2}}$.

Step2: Identify the values of $x$ and $y$

Given the point $P(0,1)$, we have $x = 0$ and $y = 1$.

Step3: Calculate $r$

$r=\sqrt{0^{2}+1^{2}}=\sqrt{0 + 1}=1$.

Step4: Calculate the cosine value

$\cos\theta=\frac{x}{r}=\frac{0}{1}=0$.

Answer:

0