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The value of sin 20 o .sin40 o ,sin60 o .sin80 o = 1/16 3/16 1/8 1/4

The value of sin 20o.sin40o,sin60o.sin80o=
  • 1/16
  • 3/16
  • 1/8
  • 1/4

Grade:11

1 Answers

Harsh Patodia IIT Roorkee
askIITians Faculty 907 Points
6 years ago
sin60 = \sqrt{3}/2

sin20sin40sin80
= sin20 sin(60-20)sin(60+20) = ¼ sin3(20) i.e ¼ sin60
(identity sin\Theta sin (60 + \Theta) sin(60 -\Theta) = ¼ sin 3\Theta)

You can simply from here

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