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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?

Shay created the table below to graph the equation r-3-sin theta (rounded to the hundredths-example-1
User Smaqsood
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2 Answers

3 votes

Answer:

B is the correct answer

Explanation:

Just took the test

User VvdL
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4 votes

Answer:

B is false

Explanation:

Let's check Shay's table:

  • if
    \theta=0, then
    r=3-\sin 0=3-0=3 (true);
  • if
    \theta =(\pi)/(6), then
    r=3-\sin (\pi)/(6)=3-(1)/(2)=2.5 (true);
  • if
    \theta = (\pi)/(4), then
    r=3-\sin (\pi)/(4)=3-(√(2))/(2)\approx2.29 (true);
  • if
    \theta=(\pi)/(3), then
    r=3-\sin (\pi)/(3)=3-(√(3))/(2)\approx 2.13 (false);
  • if
    \theta =(\pi)/(2), then
    r=3-\sin (\pi)/(2)=3-1=2 (true).
User Kellan
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