Find the Third Taylor Polynomial of F(x) = Sin X $\sin \frac { 1 } { 2 }$

question 51

Short Answer

Find the third Taylor polynomial of f(x) = sin x at x = 0 and use it to approximate $\sin \frac { 1 } { 2 }$ .
Enter just a real number rounded off to two decimal places.

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Definitions:

Convenience Sample

A type of nonprobability sampling where participants are selected based on their availability and willingness to take part, rather than at random.

Representative

Someone or something that serves as a typical example or an agent for others.

Population

In the context of statistics and research, it refers to the total group of individuals or items from which a sample may be drawn for study.

Operational Definition

A clear, precise definition of a term in a study, based on measurable conditions or behaviors.