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

## Answer this Question

## Related Questions

- Math, derivatives - Let g(x) = sin (cos x^3) Find g ' (x): The choices are a) -...
- maths - by equating the coefficients of sin x and cos x , or otherwise, find ...
- maths - hey, i would really appreciate some help solving for x when: sin2x=cosx ...
- maths - Prove Cos (x+60)= 2Sinx
- trig - 2sin(x)cos(x)+cos(x)=0 I'm looking for exact value solutions in [0, 3&#...
- math - Solve each equation , then write the general solution cos(pi/2(x+1))=...
- Calculus - Y=2sinx-cos^2(x) F"(x)=-sinx+cos^2-sin^2(x) Find the points of ...
- maths - find the general solution of the following first order differential ...
- Math - derivatives of cos and sin fucntions - a) Find an equation of a line that...
- maths - Find the roots of z^6 + 1 and hence resolve z^6 + 1into read quadratic ...