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

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

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tan^2(x)=4

tan^{2} (x) = 4

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

Solution steps

tan^{2} (x) = 4

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

sec (x) = 3

2 cos^{2} (x) + 1 = - 3 cos (x)

8 sin (θ) + 5 = 0

2 cos^{2} (x) + 3 cos (x) = - 1, 0 \leq x \leq 2 π

9 cos (2 θ) = - 9 cos (θ)

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