Problem

In 1706, Machin used the formula to compute 100 digits of π. Derive this formul...

In 1706, Machin used the formula

to compute 100 digits of π. Derive this formula. Reproduce Machin’s calculations by using suitable software.

Hint: Let tan θ = 1/5 , and use standard trigonometric identities.

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Solutions For Problems in Chapter 1.1

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