What is the general solution for sqrt(3)cos(x)-2cos^2(x)=0,0<x<360 ?

The general solution for sqrt(3)cos(x)-2cos^2(x)=0,0<x<360 is x=90,x=270,x=30,x=330

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sqrt(3)cos(x)-2cos^2(x)=0,0<x<360

3 cos (x) - 2 cos^{2} (x) = 0, 0^{\circ} < x < 36 0^{\circ}

x = 9 0^{\circ}, x = 27 0^{\circ}, x = 3 0^{\circ}, x = 33 0^{\circ}

Solution steps

3 cos (x) - 2 cos^{2} (x) = 0, 0^{\circ} < x < 36 0^{\circ}

Solve by substitution

cos (x) = 0, cos (x) = \frac{3}{2}

cos (x) = 0, 0 < x < 36 0^{\circ} : x = 9 0^{\circ}, x = 27 0^{\circ}

cos (x) = \frac{3}{2}, 0 < x < 36 0^{\circ} : x = 3 0^{\circ}, x = 33 0^{\circ}

Combine all the solutions

x = 9 0^{\circ}, x = 27 0^{\circ}, x = 3 0^{\circ}, x = 33 0^{\circ}

sin^{2} (x) cos (x) - sin (x) cos^{3} (x) = 0

5 sin (θ) - 3 = 3 sin (θ)

sin^{3} (x) - 4 sin (x) = 0

cos (a) = \frac{- 82}{140 \cdot 138}

sec^{2} (x) - cos (x) = 0

What is the general solution for sqrt(3)cos(x)-2cos^2(x)=0,0<x<360 ?
The general solution for sqrt(3)cos(x)-2cos^2(x)=0,0<x<360 is x=90,x=270,x=30,x=330