Verifying an Identity Use the result of Exercise 45 to verify each identity. (a) (b)
Chapter 9, Problem 46(choose chapter or problem)
Use the result of Exercise 45 to verify each identity.
(a) \(\arctan \frac{120}{119}-\arctan \frac{1}{239}=\frac{\pi}{4}\)
(b) \(4 \arctan \frac{1}{5}-\arctan \frac{1}{239}=\frac{\pi}{4}\)
[Hint: Use Exercise 45 twice to find \(4 \arctan \frac{1}{5}\). Then use part (a).]
Text Transcription:
arctan 120 / 119 - arctan 1 / 239 = pi / 4
4 arctan 1 / 5 - arctan 1 / 239 = pi / 4
4 arctan 1/5
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