calculate and display the terms of a taylor series expansion for sin(x) until th

Question

calculate and display the terms of a taylor series expansion for sin(x) until the approximation for sin(x) compared with the previous iteration approximation for sin(x) is within 1E-6. The Taylor series expansion for sin(x),where x is in radians is:

sin(x) = x - (x^3)/(3!) +(x^5)/(5!) - (x^7)/(7!) + . . .

Get the angle in degrees from the user and convert it to radians. using the Taylor series expansion, approximate the sine of x. for each iteration, calculate the new term, approximation the sine of x,and calculate the change from the previous approximation for sin of x. continue including a new term until the change in the approximation is < 1.0E-6.

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