What is the general solution for 2cos^2(x)-sqrt(3)cos(x)=0,0<x<180 ?

The general solution for 2cos^2(x)-sqrt(3)cos(x)=0,0<x<180 is x=30,x=90

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2cos^2(x)-sqrt(3)cos(x)=0,0<x<180

2 cos^{2} (x) - 3 cos (x) = 0, 0^{\circ} < x < 18 0^{\circ}

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

Solution steps

2 cos^{2} (x) - 3 cos (x) = 0, 0^{\circ} < x < 18 0^{\circ}

Solve by substitution

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

cos (x) = \frac{3}{2}, 0 < x < 18 0^{\circ} : x = 3 0^{\circ}

cos (x) = 0, 0 < x < 18 0^{\circ} : x = 9 0^{\circ}

Combine all the solutions

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

\frac{tan ( x )}{cos ( x )} = \frac{2}{3}

tan (x) + 2 cos (x) csc (x) = sec (x) cos (x) + cot (x)

cos (x) = 1.22719

cos (a) = \frac{5}{5}

5 sec^{2} (x) - 5 = 0, 0 \leq x < 2 π

What is the general solution for 2cos^2(x)-sqrt(3)cos(x)=0,0<x<180 ?
The general solution for 2cos^2(x)-sqrt(3)cos(x)=0,0<x<180 is x=30,x=90