Question

use half angle identities to solve sin(pi/12), help?

Answer 1

it becomes pi/6 because the pi/12 is the half angle and we need to substitute the regular angle which is 2x the half angle.




sin pi/12 = + or - sqrt((1-sqrt(3)/2)/2)
sin pi/12 = + or - sqrt((2-sqrt(3)/4)
That is the answer

Answer 2

do you have to multiply always by 2?

Answer 3

sin a/2 = + or - sqrt((1-cosa)/2)
sin pi/12 = + or - sqrt((1-cos pi/6)/2) ........ it becomes pi/6 because the pi/12 is the half angle and we need to substitute the regular angle which is 2x the half angle.


sin pi/12 = + or - sqrt((1-sqrt(3)/2)/2)
sin pi/12 = + or - sqrt((2-sqrt(3)/4)
That is the answer (u can find tht on google just saying lool x;