Taylor series of sin(x) | Desmos

Expression 7: "T" Subscript, 5 , Baseline left parenthesis, "x" , right parenthesis equals StartFraction, left parenthesis, "x" minus "a" , right parenthesis to the 5th power Over 120 , EndFraction times cosine left parenthesis, "a" , right parenthesis

7

Expression 8: "T" Subscript, 0 , Baseline left parenthesis, "x" , right parenthesis plus "T" Subscript, 1 , Baseline left parenthesis, "x" , right parenthesis

8

Expression 9: "T" Subscript, 0 , Baseline left parenthesis, "x" , right parenthesis plus "T" Subscript, 1 , Baseline left parenthesis, "x" , right parenthesis plus "T" Subscript, 2 , Baseline left parenthesis, "x" , right parenthesis

9

Expression 10: "T" Subscript, 0 , Baseline left parenthesis, "x" , right parenthesis plus "T" Subscript, 1 , Baseline left parenthesis, "x" , right parenthesis plus "T" Subscript, 2 , Baseline left parenthesis, "x" , right parenthesis plus "T" Subscript, 3 , Baseline left parenthesis, "x" , right parenthesis

10

Expression 11: "f" left parenthesis, "x" , right parenthesis equals sine left parenthesis, "x" , right parenthesis

11

Expression 12: "x" equals "a"

equals

3.1

12

Expression 13:

13

14

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