The value of [tex]sin100.sin120.sin140.sin160[/tex] is [tex]0.1875[/tex]
Step-by-step explanation:
To find the value of [tex]sin100.sin120.sin140.sin160[/tex], let us find the value of each angle.
The value of [tex]sin100=0.9848[/tex]
The value of [tex]sin120=\frac{\sqrt{3} }{2}[/tex]
The value of [tex]sin140=0.6428[/tex]
The value of [tex]sin160=0.3420[/tex]
Substituting the values of sin, we get,
[tex]sin100.sin120.sin140.sin160=0.9848*\frac{\sqrt{3} }{2} *0.6428*0.3420[/tex]
Multiplying the values of sin, we get,
[tex]sin100.sin120.sin140.sin160=0.1875[/tex]
Thus, the value of [tex]sin100.sin120.sin140.sin160[/tex] is [tex]0.1875[/tex]
