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).
- Find the Maclaurin series forsin(x).
- Do we have enough information to use right triangles toestimate sin(0.8)? Why?
- Estimate sin(0.8) using values ofsin(x).
- Estimate sin(0.8) using the graph of y =sin(x) from the graph of y = sin(x),−2π ≤ x ≤ 2π.
- 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).
- 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).
