Write a Python program that verifies the formula with the help of the Python Math library....

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Write a Python program that verifies the formula with the help of the Python Math library. Note that the library trigonometric functions act on the angles in radians. Your program should perform the following steps 3 times: i) pick a random number between 0 and 180 (including both) representing an angle in degrees, say Dangle ii) convert the angle from degrees to radians, say Rangle iii) use the Math library to find and print the values of sin(Rangle) and cos(Rangle) and iv) compute and print the value of the above expression. You can then visually verify if the result printed is 0 (or close to it). Notes angle_in_radians (angle_in_degrees Pi)/180. You can also use the math.radians() function to convert degrees to radians • Blank lines as shown in sample input are not required. However, you can get one with an empty print statement: print() Example output . The angle selected at random is 118 The angle t in radians is: 2.059488517353309 sin(t) 0.8829475928589271 cos (t)= -8.4694715627858905 2sin(t) cos(t)-sin(2t) is: 0.0 The angle selected at random is 3 The angle t in radians is: 0.05235987755982988 sin(t) 0.05233595624294383 cos(t) = 0.9986295347545738 2sin(t) cos(t)-sin(2t) is: 0.0 The angle selected at random is 32 The angle t in radians is: 0.5585053606381855 sin(t) 0.5299192642332049 cos (t) 0.848848096156426 2sin(t) cos(t)-sin(2t) is: -1.110223024625157-16 Write a Python program that verifies the formula with the help of the Python Math library. Note that the library trigonometric functions act on the angles in radians. Your program should perform the following steps 3 times: i) pick a random number between 0 and 180 (including both) representing an angle in degrees, say Dangle ii) convert the angle from degrees to radians, say Rangle iii) use the Math library to find and print the values of sin(Rangle) and cos(Rangle) and iv) compute and print the value of the above expression. You can then visually verify if the result printed is 0 (or close to it). Notes angle_in_radians (angle_in_degrees Pi)/180. You can also use the math.radians() function to convert degrees to radians • Blank lines as shown in sample input are not required. However, you can get one with an empty print statement: print() Example output . The angle selected at random is 118 The angle t in radians is: 2.059488517353309 sin(t) 0.8829475928589271 cos (t)= -8.4694715627858905 2sin(t) cos(t)-sin(2t) is: 0.0 The angle selected at random is 3 The angle t in radians is: 0.05235987755982988 sin(t) 0.05233595624294383 cos(t) = 0.9986295347545738 2sin(t) cos(t)-sin(2t) is: 0.0 The angle selected at random is 32 The angle t in radians is: 0.5585053606381855 sin(t) 0.5299192642332049 cos (t) 0.848848096156426 2sin(t) cos(t)-sin(2t) is: -1.110223024625157-16

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