Question

Shay created the table below to graph the equation r=2-sin theta (rounded to the hundredths place). Analyze the table. Did Shay make a mistake? If there is a mistake, which point is incorrect

Answer 1

The given equation is

`r=2-sin\theta`

To find the incorrect point, we will substitute the value of theta in each point and find the value of r to the nearest 2 decimal points and compare it with the value of r of the point

`\begin{gathered} \theta=0 \\ r=2-sin0 \\ r=2-0 \\ r=2 \end{gathered}`

Answer A is correct

`\begin{gathered} \theta=(\pi)/(6) \\ r=2-sin(\pi)/(6) \\ r=2-(1)/(2) \\ r=1.5 \end{gathered}`

Answer B is correct

`\begin{gathered} \theta=(\pi)/(3) \\ r=2-sin(\pi)/(3) \\ r=1.13 \end{gathered}`

Since the value of corresponding r is 2.09, then

Answer C is incorrect

The answer is C