Thea value of cos pi/14*cos 3pi/14 * cos 5pi/14 is ?

  • -6

= sin pi/14 cos (pi/2 - 3/pi/14) cos (pi/2 - 5 pi/14)

= sin pi/14 cos 4pi/14 cos 2pi/14
= sin pi/14 cos 2pi/14 cos 4pi/14
= (cos pi/14 sin pi/14 cos 2pi/14 cos 4pi/14)/ cos pi/14
= 1/2( sin 2pi/14 cos 2pi/14 cos 4pi/14)/ cos pi/14
= 1/4 ( sin 4pi/4 cos 4pi/14)/ cos pi/ 14
= 1/8( sin 8pi/14)/ cos pi/14
= 1/8 (sin (pi-8pi/14)) / cos pi/14
= 1/8 sin 6pi/14/ (cos pi/14)
= 1/8 cos pi/14 / cos pi/14
= 1/8
  • -3
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