"Find all solutions in radians using exact values only for tan^2(3x) = 1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 74E
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Q55, chap 7.2.

"Find all solutions in radians using exact values only for tan^2(3x) = 1

I did it the way Bartleby did it and got pi/12 + kpi/3 and pi/4 + kpi/3

However the answer at the back of the book gives this answer pi/12 + kpi/6

 

Which is correct?  Are both correct?  If they are both two different ways of expressing the same answer, please show me how to get the book answer.  Thanks!

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