Posted by **mazandie Magaduzela** on Tuesday, March 26, 2013 at 12:28pm.

how can i find a general solution of g(x)when they give me g(X) =cos (x+30)and g(X)= -2sinx

- maths -
**Steve**, Tuesday, March 26, 2013 at 12:34pm
well, when does

cos(x+30) = -2sinx

√3/2 cosx - 1/2 sinx = -2sinx

√3/2 cosx = -3/2 sinx

tanx = -1/√3

since tan30 = 1/√3,

x = (180-30) or (360-30) = 150 or 330

or, more generally,

x = 180n-30 for any integer n

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