Question

How do I simplify 2sin(100pi/9)*cos(100pi/9)?

Answer 1

`color(indigo)(=>sin ((200pi)/9) = sin ((2pi)/9)`

Explanation:

`sin 2alpha = 2 sin alpha cos alpha`

`:. 2 * sin ((100pi)/9) * cos ((100pi)/9) = sin (2* ((100pi)/9))`

`color(indigo)(=>sin ((200pi))/9 = sin ((2pi)/9)`