SOLUTION: Determine ALL solutions, in radian measure, for the equation {{{sin(expr(1/2)( theta - pi/3)^"")}}}{{{""=""}}}{{{sqrt(3)/2}}}

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Determine ALL solutions, in radian measure, for the equation {{{sin(expr(1/2)( theta - pi/3)^"")}}}{{{""=""}}}{{{sqrt(3)/2}}}       Log On


   



Question 1181248: Determine ALL solutions, in radian measure, for the equation

sin%28expr%281%2F2%29%28+theta+-+pi%2F3%29%5E%22%22%29%22%22=%22%22sqrt%283%29%2F2

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
sin%28expr%281%2F2%29%28+theta+-+pi%2F3%29%5E%22%22%29%22%22=%22%22sqrt%283%29%2F2

expr%281%2F2%29%28+theta+-+pi%2F3%29%22%22=%22%22matrix%281%2C3%2Cpi%2F3%2B2n%2Api%2C%22%2C%22%2C2pi%2F3%2B2n%2Api%29

Multiply through by 2

+theta+-+pi%2F3%22%22=%22%22matrix%281%2C3%2C2pi%2F3%2B4n%2Api%2C%22%2C%22%2C4pi%2F3%2B4n%2Api%29

Add pi%2F3 to both sides

+theta%22%22=%22%22matrix%281%2C3%2Cpi%2B4n%2Api%2C%22%2C%22%2C5pi%2F3%2B4n%2Api%29

Edwin