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auto23652im 2022-07-07 Answered
Show that sin ( π 12 ) > 1 4
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Answers (2)

talhekh
Answered 2022-07-08 Author has 15 answers
If one can use sin π 6 = 1 2 , the double-angle formula gives
sin π 12 = sin π 6 2 cos π 12 = 1 4 cos π 12 ,
and all that remains is to argue that 0 < cos π 12 < 1
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Augustus Acevedo
Answered 2022-07-09 Author has 4 answers
cos π 12 < 1 sin π 12 cos π 12 < sin π 12 1 2 ( 2 sin π 12 cos π 12 ) < sin π 12 1 2 sin π 6 < sin π 12 1 4 < sin π 12
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