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Answer the following questions in order to approximate the value of sin(0.8). Note that ?/ 4 ?...

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Advance Math

Answer the following questions in order to approximate the valueof sin(0.8).

Note that ?/ 4 ? 0.785 radians.

(a) Do you have enough information to use right triangles toestimate sin(0.8)? Why?

(b) Estimate sin(0.8) using values of sin(x) that you know frompart (2).

(c) Estimate sin(0.8) using the graph of y = sin(x) from part(3).

(d) Estimate sin(0.8) using the 5th degree Taylor polynomial forsin(x) at a = 0 (I will accept either the Taylor polynomial up to n= 5 or the Taylor polynomial up to the x^5 term). Find the errorbound from the Alternating Series Estimation Theorem (using thenext nonzero term of the Maclaurin series), and explain what ittells you about the actual value of sin(0.8).

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