General solution of tanθ+tan4θ+tan7θ=tanθtan4θtan7θ is

General solution of $tanθ + \tan 4 θ + \tan 7 θ = tanθtan 4 θtan 7 θ$ is

A
$θ = nπ / 12,$ where $n \in Z$
B
$θ = nπ / 9,$ where $n \in Z$
C
$θ = nπ + π / 12,$ where $n \in Z$
D
$θ = \frac{nπ}{3},$ where $n \in Z$

Solution:

From the given equation, we have
$\frac{\tan θ + \tan 4 θ}{1 - \tan θtan 4 θ} = - \tan 7 θ or θ = nπ / 12, where n \in Z, but n \neq 6, 18, 30$

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