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

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

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tan^2(x)-1/3 =0

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

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

Solution steps

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

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

sin^{2} (x) - 1 = 0, 0 \leq x < 2 π

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

sin^{4} (x) - cos^{4} (x) = 0

tan (θ) cos (θ) + cos (θ) = 0

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