Question

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

Answer 1

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

Step-by-step 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 $sin120=\frac{\sqrt{3} }{2}$

The value of $sin140=0.6428$

The value of $sin160=0.3420$

Substituting the values of sin, we get,

$sin100.sin120.sin140.sin160=0.9848*\frac{\sqrt{3} }{2} *0.6428*0.3420$

Multiplying the values of sin, we get,

$sin100.sin120.sin140.sin160=0.1875$

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