What is sin 10 equal to? How can I find the value?

Use the relation sin 3x = 3*sin x - 4(sin
x)^3

=> sin 30 = 3*sin 10 - 4*(sin
10)^3

sin 30 = 1/2 and let sin 10 =
t

=> 1/2 = 3t -
4t^3

=> 8t^3 - 6t + 1 =
0

Solve for t in the cubic equation we have arrived
at.

There are 3 roots of the equation, one is negative, one
is greater than 0.5 and the third is 0.1736. As sin 10 < sin 30 and is positive,
we can eliminate two of the roots and keep
0.1736

The value of sin 10 =
0.1736