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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §10.1 The Geometric Series, #45 · Calculus · Series

If … and …, then the tangent of … is

If $tan y = \frac{1}{2}$ and $tan z = \frac{1}{3}$ , then the tangent of $y + z$
is $(tan y + tan z) / (1 - tan y tan z) = 1$ . If $tan y = \frac{1}{5}$ and $tan z =$ ____, again $tan (y + z) = 1$ . Why is this not as good as
equation (20), to find $π /4$ ?

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §10.1 The Geometric Series, #45

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