Question

Shay created the table below to graph the equation r-3-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

Answer:

B is false

Step-by-step explanation:

Let's check Shay's table:

• if $\theta=0,$ then $r=3-\sin 0=3-0=3$ (true);
• if $\theta =\dfrac{\pi}{6},$ then $r=3-\sin \dfrac{\pi}{6}=3-\dfrac{1}{2}=2.5$ (true);
• if $\theta = \dfrac{\pi}{4},$ then $r=3-\sin \dfrac{\pi}{4}=3-\dfrac{\sqrt{2}}{2}\approx2.29$ (true);
• if $\theta=\dfrac{\pi}{3},$ then $r=3-\sin \dfrac{\pi}{3}=3-\dfrac{\sqrt{3}}{2}\approx 2.13$ (false);
• if $\theta =\dfrac{\pi}{2},$ then $r=3-\sin \dfrac{\pi}{2}=3-1=2$ (true).