Solve the following equation:

(i)tan3xtanx = 1

(ii)tan2x = -cot(x + pie/3)

1)
tan3x.tanx =1
So tan 3x = 1tan x=cot x
or tan 3x = tanπ2-x
or 3x = nπ+π2-x

or 4x = nπ+π2or x = nπ4+π8
2)
tan 2x = -cot x+π3
 tan 2x = tanπ2+x+π3or tan 2x = tanx+5π6or 2x = nπ+x+5π6or x =nπ+ 5π6
 

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