please solve this on your own. do not copy other answers from chegg because I need the solution to be unique. don't post the solution publicly either. Thank you.

Coding language is python.

1.2 Question 1 (40 points) The following is the Taylor series approximation for computing the sine function for a given angle x in radians: sin(x) = x 3! SI 7! Write a Python program that asks the user to input an angle in radians and prints its sine value using both the above Taylor series approximation and the sine function from the math module. The program also prints the approximation error up to 6tignificant digits. (Hint: math module has a factorial function) 1.2.1 Sample Run Enter an angle x in radians: 1.5 Using Taylor series approximation, sin 1,5) = 0.9973911830357143 Using math function, sin( 15 ) - 0.9974949866040544 Approximation error = 0.000104