Please write the following program in Python 3. Make sure the program output marches the sample run in the question illustrated in the image.

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- ro + 5! x? 7! 3! 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 6 significant 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( 1.5 ) = 0.9974949866040544 Approximation error = 0.000104