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

The general solution for 1-3tan^2(x)=0 is x=0.52359…+pin,x=-0.52359…+pin

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1-3tan^2(x)=0

1 - 3 tan^{2} (x) = 0

x = 0.52359 \dots + πn, x = - 0.52359 \dots + πn

Solution steps

1 - 3 tan^{2} (x) = 0

Solve by substitution

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

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

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

Combine all the solutions

x = arctan (\frac{1}{3}) + πn, x = arctan (- \frac{1}{3}) + πn

Show solutions in decimal form

x = 0.52359 \dots + πn, x = - 0.52359 \dots + πn

6 tan^{2} (θ) - 10 tan (θ) + 1 = - 5 tan (θ)

2 sin (2 x) + 6 sin (x) - 2 cos (x) = 3

sin (2 x) = \frac{4}{5}

2 csc (x) + 17 = 15 + csc (x)

cos (x) - sin (x) = 2

What is the general solution for 1-3tan^2(x)=0 ?
The general solution for 1-3tan^2(x)=0 is x=0.52359…+pin,x=-0.52359…+pin