SOLUTION: 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 =

Algebra.Com
Question 1136559: 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

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

, in the interval [, )

Use the following identity :

........factor out



Solving each part separately:

=> in the interval [, ) for , ,

or
=> in the interval [, ) for ,


Combine all the solutions:
, , , ,


RELATED QUESTIONS

Find the solutions of the equation that are in the interval [0, 2π). (Enter your... (answered by htmentor)
Find the solutions of the equation that are in the interval [0, 2π). (Enter your... (answered by lwsshak3)
find the solutions of the equation that are in the interval [0, 2π). (Enter your answers (answered by Alan3354)
Find the solutions of the equation that are in the interval [0, 2pi;). (Enter your... (answered by Alan3354)
Find the solutions of the equation that are in the interval [0, 2π). (Enter your answers (answered by Alan3354)
Find all solutions of the equation in the interval [0, 2π). (Enter your answers as a (answered by Alan3354)
Find all solutions of the equation in the interval [0, 2π). (Enter your answers as a (answered by Alan3354)
Find all solutions of the equation in the interval [0, 2π). (Enter your answers as a (answered by Edwin McCravy)
Find all solutions of the equation in the interval [0, 2π). (Enter your answers as a (answered by stanbon)