The general solution of :sin2⁡θsec⁡θ+3tan⁡θ=0 is

The general solution of $: \sin^{2} θ \sec θ + \sqrt{3} \tan θ =$ 0 is

A
$θ = n π + (- 1)^{n + 1} \frac{π}{3}, θ = n π$
B
$θ = n π$
C
$θ = n π + (- 1)^{n + 1} \frac{π}{3}$
D
$θ = \frac{n π}{2}$

Solution:

The given equation can be written as

$\begin{array}{l} \Rightarrow (\sin θ + \sqrt{3}) \tan θ = 0 \\ \Rightarrow \tan θ = 0 \Rightarrow θ = n π, n \in Z \end{array}$

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