What is the general solution for 3tan^2(x)-tan(x)=0 ?

The general solution for 3tan^2(x)-tan(x)=0 is x=0.32175…+pin,x=pin

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3tan^2(x)-tan(x)=0

3 tan^{2} (x) - tan (x) = 0

x = 0.32175 \dots + πn, x = πn

Solution steps

3 tan^{2} (x) - tan (x) = 0

Solve by substitution

tan (x) = \frac{1}{3}, tan (x) = 0

tan (x) = \frac{1}{3} : x = arctan (\frac{1}{3}) + πn

tan (x) = 0 : x = πn

Combine all the solutions

x = arctan (\frac{1}{3}) + πn, x = πn

Show solutions in decimal form

x = 0.32175 \dots + πn, x = πn

sin (2 x) = - \frac{1}{2}, 0 \leq x \leq 2 π

x, 2 sin (x) - 3 = 0

cot (θ + 10 0^{\circ}) = 0

3.8 = 11.8 sin (3.92232 \cdot t)

2 cos^{2} (x) - sin (2 x) - 1 = 0

What is the general solution for 3tan^2(x)-tan(x)=0 ?
The general solution for 3tan^2(x)-tan(x)=0 is x=0.32175…+pin,x=pin