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What would be steps and reason to answering the following question? Also thank you ahead for...

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Basic Math

What would be steps and reason toanswering the following question? Also thank you ahead for helpingme understand the question. :)

approximate the value ofsin(0.8).

  1. Find the Maclaurin series forsin(x).
    1. Do we have enough information to use right triangles toestimate sin(0.8)? Why?
    2. Estimate sin(0.8) using values ofsin(x).
    3. Estimate sin(0.8) using the graph of y =sin(x) from the graph of y = sin(x),−2π ≤ x ≤ 2π.
    4. Estimate sin(0.8) using the 5th degree Taylorpolynomial for sin(x) at a = 0 ( Using either theTaylor polynomial up to n = 5 or the Taylor polynomial upto the x5 term).
    5. Find the error bound from the Alternating Series EstimationTheorem (using the next nonzero term of the Maclaurin series), andexplain what it tells us about the actual value ofsin(0.8).

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