Tính $S=\sin \frac{\pi}{14}+6\sin^2\frac{\pi}{14} -8\sin^4\frac{\pi}{14}$

(không sử dụng máy tính)
t bị block 4 nick liền –  Băng Băng 18-08-16 11:15 PM
ok :))­­­­­ –  tran85295 16-08-16 07:49 PM
Cảm ơn trước –  . 16-08-16 07:49 PM
son.tac321789@gmail.com –  . 16-08-16 07:48 PM
hộ nha cảm ơn nhiều –  Lionel Messi 16-08-16 07:48 PM
đó!!!!!!!!! –  Lionel Messi 16-08-16 07:48 PM
dominhhoang26112000@gmail.com –  Lionel Messi 16-08-16 07:47 PM
uhm­­­­­ –  tran85295 16-08-16 07:46 PM
Mail htn ak –  . 16-08-16 07:46 PM
cmt gmail nhé –  tran85295 16-08-16 07:45 PM
it me!!!!!!! –  Lionel Messi 16-08-16 07:45 PM
uhm :)) cmt email nhé –  tran85295 16-08-16 07:40 PM
Lấy lại dùm tui vs :D –  . 16-08-16 07:37 PM
uh­­­­­­­ –  tran85295 16-08-16 07:36 PM
Ô lấy lại nik rồi ak –  . 16-08-16 07:35 PM
Ta CM đc $S=sin\frac{\pi }{14}+cos\frac{\pi }{7}-cos\frac{2\pi }{7}$
Nhân cả 2 vế cho $cos\frac{\pi }{14}$
$\Leftrightarrow S.cos\frac{\pi }{14}=\frac{1}{2}sin\frac{\pi }{7}+\frac{1}{2}(cos\frac{3\pi }{14}+cos\frac{\pi }{14})-\frac{1}{2}(cos\frac{3\pi }{14}+cos\frac{5\pi }{14})$
$\Leftrightarrow S.cos\frac{\pi }{14}=\frac{1}{2}(sin\frac{\pi }{7}+cos\frac{\pi }{14}-cos\frac{5\pi }{14})$
$\Leftrightarrow S.cos\frac{\pi }{14}=\frac{1}{2}(sin\frac{\pi }{7}+cos\frac{\pi }{14}-sin\frac{\pi }{7})$
$\Leftrightarrow S=\frac{1}{2}$

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