Solving trig equation tanx . tan2x =1

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In this video I have explained how to solve a trig equation using double angle formula
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if I go through this method
sinX sin2X/cosX cos2X=1
=>sinX sin2X=cosX cos2X
=>cosX cos2X - sinX sin2X=0
=>cos(X+2X)=0
=>cos3X=0
3X=nπ+π/2
=>X=nπ/3+π/6
is it ok?

mushfiqrana
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need to write it a bit neater next time lol

Deepblackice