In later courses,you will learn that the sine function can be written as the sum of an
Chapter 11, Problem 11(choose chapter or problem)
In later courses,you will learn that the sine function can be written as the sum of an infinite sequence.In particular,for x in radians,the sine function can be approximated as the finite series: sin x a. Graph Y1 5 sin x and Y2 5 on the graphing calculator.For what values of x does Y2 seem to be a good approximation for Y1? b. The next term of the sine approximation is .Repeat part a using Y1 and Y3 5 .For what values of x does Y3 seem to be a good approximation for Y1? c. Use Y2 and Y3 to find approximations to the sine function values below.Which function gives a better approximation? Is this what you expected? Explain. (1) sin (2) sin (3) sin p
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