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

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

Note that π/ 4 ≈ 0.785 radians.

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

(b) Estimate sin(0.8) using values of sin(x) that you know from part (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 for sin(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 error bound from the Alternating Series Estimation Theorem (using the next nonzero term of the Maclaurin series), and explain what it tells you about the actual value of sin(0.8).

Expert Solution

THANK YOU.

Colby Messinger answered 1 year ago

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