Find the solutions of the equation that are in the interval [0, 2𝜋). (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.)

Question

Find the solutions of the equation that are in the interval [0, 2𝜋). (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.)

sin 2t − sin t = 0

t=

Answer 1

2sintcost - sint = 0

sint (2cost - 1) = 0

sint = 0 or cost = 1/2

t = 0 , π , π / 3 , 5π / 3