The Taylor Series for the cos(x) assuming x is in radians is: (-1)*. (2k)! cos(x) =...

 

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The Taylor Series for the cos(x) assuming x is in radians is: (-1)*. (2k)! cos(x) = 1- 4! k=0 Write a Python program that will: • Prompt the user for the units of the angle (degrees or radians) • If units are radians, prompt the user for an angle that ranges from 0 to 2n radians. If the user does not enter an angle in the specified range, continue to prompt for the angle, x, until it is in the specified range. • If units are degrees, prompt the user for an angle that ranges from 0 to 360°. If the user does not enter an angle in the specified range, continue to prompt for the angle, x, until it is in the specified range. Then convert the angle, x, from degrees to radians. • Prompt the user for the number of terms in the Taylor Sequence to include in the series summation. This should be a real, positive integer. • Compute and output the Taylor Series summation for the number of terms specified by the user. Note: as the number of terms in the Taylor sequence increases, the summation will become closer to the actual value of the cosine of the angle. Use this to check to see if your program is working properly. The Taylor Series for the cos(x) assuming x is in radians is: (-1)*. (2k)! cos(x) = 1- 4! k=0 Write a Python program that will: • Prompt the user for the units of the angle (degrees or radians) • If units are radians, prompt the user for an angle that ranges from 0 to 2n radians. If the user does not enter an angle in the specified range, continue to prompt for the angle, x, until it is in the specified range. • If units are degrees, prompt the user for an angle that ranges from 0 to 360°. If the user does not enter an angle in the specified range, continue to prompt for the angle, x, until it is in the specified range. Then convert the angle, x, from degrees to radians. • Prompt the user for the number of terms in the Taylor Sequence to include in the series summation. This should be a real, positive integer. • Compute and output the Taylor Series summation for the number of terms specified by the user. Note: as the number of terms in the Taylor sequence increases, the summation will become closer to the actual value of the cosine of the angle. Use this to check to see if your program is working properly.

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