Q 1.2 (Modified from 4.3]: The Maclaurin series expansion for sin(x) is 3 5 7 9 sin(x) = x - + + 3! 5! 7! 9! Starting with the simplest version, sin(x) = x, add terms one at a time to estimate sin(t/3). After each new term is added, compute the true and approximate percent relative errors. Use your pocket calculator or Octave to determine the true value. Add terms until the absolute value of the approximate error estimate falls below 1%. Explain the change in error as the number of terms is increased (25 points) For each question complete the following steps: A. Transform engineering problem into NM problem B. Develop a pseudocode C. Report the solution and the error