What is the general solution for tan^2(x)-9=0 ?

The general solution for tan^2(x)-9=0 is x=1.24904…+pin,x=-1.24904…+pin

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tan^2(x)-9=0

tan^{2} (x) - 9 = 0

x = 1.24904 \dots + πn, x = - 1.24904 \dots + πn

Solution steps

tan^{2} (x) - 9 = 0

Solve by substitution

tan (x) = 3, tan (x) = - 3

tan (x) = 3 : x = arctan (3) + πn

tan (x) = - 3 : x = arctan (- 3) + πn

Combine all the solutions

x = arctan (3) + πn, x = arctan (- 3) + πn

Show solutions in decimal form

x = 1.24904 \dots + πn, x = - 1.24904 \dots + πn

2 = - 4 - 3 csc (θ)

x, 3 tan (2 x) = - 1

1 + sin^{2} (x) = 0

2 sin^{2} (x) + 4 cos^{2} (x) = 1

- sin (θ) = \frac{n}{2} - 3

What is the general solution for tan^2(x)-9=0 ?
The general solution for tan^2(x)-9=0 is x=1.24904…+pin,x=-1.24904…+pin