Question

How do you evaluate sin(11π/6)?

Answer 1

`color(green)(- sin (pi/6) =- sin 60 = - (1/2)`

Explanation:

To find the value of `sin ((11pi)/6)`

`sin ((11pi)/6) = sin (((11pi)/6) - 2pi)`

`=> sin -(pi/6) = - sin (pi/6)` as sin in IV quadrant is negative.

`color(green)(- sin (pi/6) =- sin 60 = - (1/2)` from the above table.