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In 1706, Machin used the formula ? = 16 arctan (1/5) - 4 arctan (1/239) to compute 100 digits of ?. Derive this formula. Reproduce

In 1706, Machin used the formula

? = 16 arctan (1/5) - 4 arctan (1/239) to compute 100 digits of ?. Derive this formula. Reproduce Machins calculations by using image text in transcribed . Hint: Let tan? = 1/5, and use standard trigonometric identities.

Write the code In JAVA please.

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