The maclaurin series expansion for sin(x) is: sin(x)=x−x33! +x55! −x77! +x99! − starting with simplest version sin(x)=x, add terms one at time to estimate sin(π/8). after each new term is added, compute the true and approximate percent relative errors. add terms until value of approximate error estimation error falls bellow an error criterion conforming to two significant figures.