Problem 3: The Taylor Series for the sine of an angle is: sin(x) = x--+ +-- 35 79 Write a MATLAB script to do the following: Prompt the user for an angle, x, (in radians) from 0 to 2. Use a while loop to calculate the estimate for the sine of the angle by adding one additional term from the Taylor Series polynomial each iteration through the loop. The while loop should continue as long as the absolute value of the difference between the most recent estimate and the previous estimate exceeds 0.0001 (le-4). Save your estimates in a vector. After the loop, use fprintf statement(s) to display the estimate of the sine, the actual sine, and the number of terms of the Taylor Series polynomial required to achieve the specified accuracy. The actual and estimated values should be displayed using 6 places behind the decimal point. The number of terms should be displayed as an integer. Plot the estimates. . Run your script to complete the following table Angle Estimate of sin(Angle) Actual sin(Angle) Number of Terms 0 i/8 pi/4 i/2 3 pi/2