OPTIONAL Bonus Exercise (worth +1 0 out of 100) Note: This uses the optional material from today's slides. Feel free to ask questions in ofce hours about material we did not spend much time on in class. Your computer's CPU supports a standard for storing real numbers and computing with them, a standard called the IEEE Single-Precision Floating Point, or "oat\" for short. There are circuits built into the CPU for handling an addition, subtraction, multiplication, or division of two "floats" in a single CPU cycle. There is no such circuit for computing most transcendental functions, such as sin, cos, tan, In, etc. Consequently, CPU manufacturers build in a Taylor polynomial to approximate such functions, because the Taylor polynomial can be built from just addition, subtraction, multiplication, and divisionoperations already supported by the CPU. a. The cosine curve is inherently repetitive. As in the gure shown below, we need only come up with a Taylor polynomial that's accurate for the "main segment" marked in the figure, and then all the rest of the real number line can be computed from that main segment by ipped copies of that initial segment. mam llimml r; : un- r llimml fol!"