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

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

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solvefor x,tan^2(x)=tan^2(y)

solve for

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

x = arctan (tan (y)) + πn, x = arctan (- tan (y)) + πn

Solution steps

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

Solve by substitution

tan (x) = tan (y), tan (x) = - tan (y)

tan (x) = tan (y) : x = arctan (tan (y)) + πn

tan (x) = - tan (y) : x = arctan (- tan (y)) + πn

Combine all the solutions

x = arctan (tan (y)) + πn, x = arctan (- tan (y)) + πn

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

- 6 sin (x) - 5 cos (x) = 2

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

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

sin^{2} (x) + 3 cos (x) - 1 = 0

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