Consider the following two Taylor Series (about x = 0): x3 x7 -1 tan x=x- + + 3 5 7 x3 3x5 5x7 -1 sin x=x+ + + 6 40 112 (a) Find the Taylor Series expansion for f(x) and including the xⓇ term. = -1 (tan¹x) (sin x) about x = 0, up to -1 (b) Use terms up to and including the x¹³ term in the expansion for tan‍ x, together with an appropriate value for x, to find an approximation for π. Write your approximation correct to 4 decimal places.

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