What is the general solution for (2cos(x)+1)(sqrt(3)tan(x)-1)=0 ?

The general solution for (2cos(x)+1)(sqrt(3)tan(x)-1)=0 is x=(2pi)/3+2pin,x=(4pi)/3+2pin,x= pi/6+pin

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(2cos(x)+1)(sqrt(3)tan(x)-1)=0

(2 cos (x) + 1) (3 tan (x) - 1) = 0

x = \frac{2 π}{3} + 2 πn, x = \frac{4 π}{3} + 2 πn, x = \frac{π}{6} + πn

Solution steps

(2 cos (x) + 1) (3 tan (x) - 1) = 0

Solving each part separately

2 cos (x) + 1 = 0 or 3 tan (x) - 1 = 0

2 cos (x) + 1 = 0 : x = \frac{2 π}{3} + 2 πn, x = \frac{4 π}{3} + 2 πn

3 tan (x) - 1 = 0 : x = \frac{π}{6} + πn

Combine all the solutions

x = \frac{2 π}{3} + 2 πn, x = \frac{4 π}{3} + 2 πn, x = \frac{π}{6} + πn

α, cos^{2} (α) + cos^{2} (β) = 1

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

sin (x + 3 0^{\circ}) = \frac{1}{2}

sin (θ) = 21

0 = - 2 sin (2 x) + cos (2 x)

What is the general solution for (2cos(x)+1)(sqrt(3)tan(x)-1)=0 ?
The general solution for (2cos(x)+1)(sqrt(3)tan(x)-1)=0 is x=(2pi)/3+2pin,x=(4pi)/3+2pin,x= pi/6+pin