Question
Factor sin2x+sinx=0
Answers
GPT 3.5
sin2x + sinx = 0
sinx(2cosx + 1) = 0
From this equation, we can see that the solutions are:
sinx = 0 or 2cosx + 1 = 0
If sinx = 0, then x = nπ where n is an integer.
If 2cosx + 1 = 0, then cosx = -1/2. The solutions for this equation are x = (2n + 1)π/3 where n is an integer.
Therefore, the solutions for the equation sin2x + sinx = 0 are x = nπ or x = (2n + 1)π/3.
sinx(2cosx + 1) = 0
From this equation, we can see that the solutions are:
sinx = 0 or 2cosx + 1 = 0
If sinx = 0, then x = nπ where n is an integer.
If 2cosx + 1 = 0, then cosx = -1/2. The solutions for this equation are x = (2n + 1)π/3 where n is an integer.
Therefore, the solutions for the equation sin2x + sinx = 0 are x = nπ or x = (2n + 1)π/3.