Question

determine the values of alpha [0,2pi] for which sin(alpha)= cos (alpha/2)

Answer 1

sin 2*(alpha/2)=cos(alpha/2)
or.2*sin(alpha/2)*cos(alpha/2)=cos(alpha/2)
or. cos(alpha/2)(2*sin(alpha/2)-1)=0

Answer 2

now solve it

Answer 3

sin alpha/2= 1/2
hence alpha= pi/3
thanks a lot

Answer 4

u r most welcome

Answer 5

we should consider another thing is
cos alpha/2=0
or. alpha=180