What is the general solution for solvefor x,tan^2(x)=2 ?

The general solution for solvefor x,tan^2(x)=2 is x=0.95531…+pin,x=-0.95531…+pin

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solvefor x,tan^2(x)=2

solve for

x, tan^{2} (x) = 2

x = 0.95531 \dots + πn, x = - 0.95531 \dots + πn

Solution steps

tan^{2} (x) = 2

Solve by substitution

tan (x) = 2, tan (x) = - 2

tan (x) = 2 : x = arctan (2) + πn

tan (x) = - 2 : x = arctan (- 2) + πn

Combine all the solutions

x = arctan (2) + πn, x = arctan (- 2) + πn

Show solutions in decimal form

x = 0.95531 \dots + πn, x = - 0.95531 \dots + πn

x, \frac{p}{q} = sin^{2} (x)

cos (2 x) = 1 - 2 (\frac{3}{5})^{2}

sin (θ + \frac{π}{3}) = \frac{1}{2}

4 sin^{2} (x) = 5 - 4 cos (x), 0 \leq x < 2 π

sin (x) - 6 cos^{2} (x) + 4 = 0

What is the general solution for solvefor x,tan^2(x)=2 ?
The general solution for solvefor x,tan^2(x)=2 is x=0.95531…+pin,x=-0.95531…+pin