Mathematics · 2017
JEE Main · 8 April 2017, Shift 1 · Q88
If S ={x ∈[0,2 π]: |0, cos x, - sin x; sin x, 0, cos x; cos x, sin x, 0| =0}, then Σ_x ∈ S tan ((π)/3+x) is equal to:
If
$$\mathrm{S}=\left\{x \in[0,2 \pi]:\left|\begin{array}{rrr}
0 & \cos x & -\sin x \\
\sin x & 0 & \cos x \\
\cos x & \sin x & 0
\end{array}\right|=0\right\},
$$
then $\displaystyle \sum_{x \in \mathrm{~S}} \tan \left(\frac{\pi}{3}+x\right)$ is equal to :
Official answer
(4)
$\displaystyle -4-2 \sqrt{3}$
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JEE Main 2017 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.