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.
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-> 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.
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You can put this solution on YOUR website! sinx + 2sinxcosx = 0
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factor the left side of the =
:
sin(x) * (1 + 2cos(x)) = 0
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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
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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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