Question

Find the value of sin100.sin120.sin140.sin160​

Answer 1

The value of
`sin100.sin120.sin140.sin160` is
`0.1875`

Explanation:

To find the value of
`sin100.sin120.sin140.sin160`, let us find the value of each angle.

The value of
`sin100=0.9848`

The value of
`sin120=(√(3) )/(2)`

The value of
`sin140=0.6428`

The value of
`sin160=0.3420`

Substituting the values of sin, we get,

`sin100.sin120.sin140.sin160=0.9848*(√(3) )/(2) *0.6428*0.3420`

Multiplying the values of sin, we get,

`sin100.sin120.sin140.sin160=0.1875`

Thus, the value of
`sin100.sin120.sin140.sin160` is
`0.1875`