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

The general solution for tan^2(x)-3tan(x)=0 is x=1.24904…+pin,x=pin

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

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

x = 1.24904 \dots + πn, x = πn

Solution steps

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

Solve by substitution

tan (x) = 3, tan (x) = 0

tan (x) = 3 : x = arctan (3) + πn

tan (x) = 0 : x = πn

Combine all the solutions

x = arctan (3) + πn, x = πn

Show solutions in decimal form

x = 1.24904 \dots + πn, x = πn

sin (u) = - \frac{3}{5}

2 sin^{2} (x) = cos (x) + 1

2 cos^{2} (θ) + cos (θ) = 0

9 sec (x) + 9 tan (x) = 9

sin (2 θ) + 1 = 0

What is the general solution for tan^2(x)-3tan(x)=0 ?
The general solution for tan^2(x)-3tan(x)=0 is x=1.24904…+pin,x=pin