SOLUTION: I need step-by-step help solving sinx + 2sinxcosx = 0 I am a 56yr old woman trying to do math...with a really poor math background.

Question 1101727: I need step-by-step help solving sinx + 2sinxcosx = 0 I am a 56yr old woman trying to do math...with a really poor math background.

Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
sinx + 2sinxcosx = 0
:
factor the left side of the =
:
sin(x) * (1 + 2cos(x)) = 0
:
we have two equations to solve, since the problem does not state over what values(i.e. 0 to 2pi where pi is 180 degrees) to solve the equation and sin and cos are periodic so I will give you the general solution
:
1) sin(x) = 0
x = pi * n where n is an integer
:
2) 1 + 2cos(x) = 0
2cos(x) = -1
cos(x) = -1/2
now take the inverse cosine
x = ((2*pi)/3) + (2*pi*n) where n is an integer
or
x = ((4*pi)/3) + (2*pi*n) where n is an integer
:

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