Determine the number of terms in the expansion required to approximate cos(x) at x = 0.3...

   

Transcribed Image Text:

Determine the number of terms in the expansion required to approximate cos(x) at x = 0.3 to 6 significant figures using the following Taylor series x4 x2 x6 x8 + cos(x) 1- + 2! 4! 6! 8! x2n (-1)". (2n)! Use the math module in Python to calculate cos(x) at x = 0.3. Write a user-defined function that takes x and n as inputs and calculates the approximation. Use this function to calculate and print the value of the approximation for each value of n. Determine the number of terms in the expansion required to approximate cos(x) at x = 0.3 to 6 significant figures using the following Taylor series x4 x2 x6 x8 + cos(x) 1- + 2! 4! 6! 8! x2n (-1)". (2n)! Use the math module in Python to calculate cos(x) at x = 0.3. Write a user-defined function that takes x and n as inputs and calculates the approximation. Use this function to calculate and print the value of the approximation for each value of n.