What is the general solution for tan^2(x)-4=0 ?

The general solution for tan^2(x)-4=0 is x=1.10714…+pin,x=-1.10714…+pin

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tan^2(x)-4=0

tan^{2} (x) - 4 = 0

x = 1.10714 \dots + πn, x = - 1.10714 \dots + πn

Solution steps

tan^{2} (x) - 4 = 0

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 = 1.10714 \dots + πn, x = - 1.10714 \dots + πn

2 sin^{2} (θ) + sin (θ) - 1 = 0, 0 \leq θ < 2 π

2 cos^{2} (x) - 3 cos (x) = 2

cot (θ) = \frac{1}{3}

- 3 sin^{2} (θ) + 4 sin (θ) - 7 = - 6

sin (2 x) - cos (2 x) = 1

What is the general solution for tan^2(x)-4=0 ?
The general solution for tan^2(x)-4=0 is x=1.10714…+pin,x=-1.10714…+pin