Question
96. Using trig identities (NO CALCULATORS ALLOWED!!), prove the
peculiar formula of John Machin (1706):
TT
-1
= 4 tan-1
4
tan
239
1
and then attack B= tan(4a - B) with
239
-1
and B tan
(HINT: Introduce a = tan'
=
your trig identities.)

Image Transcription

96. Using trig identities (NO CALCULATORS ALLOWED!!), prove the peculiar formula of John Machin (1706): TT -1 = 4 tan-1 4 tan 239 1 and then attack B= tan(4a - B) with 239 -1 and B tan (HINT: Introduce a = tan' = your trig identities.)

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