The first three nonzero terms of the Maclaurin series for the arctangent function are x−(1/3)x3+(1/5)x5. Compute the absolute error and relative error in the following approximations of π using the polynomial in place of the arctangent: a. 4[arctan(12)+arctan(13)]b. 16arctan(15)−4arctan(1239)

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,

3 is greater then both of those numbers

i think the answer is b

faster, im not sure why but i know it is faster