List of top Mathematics Questions on Trigonometric Equations asked in EAMCET

If tan⁡θ⋅tan⁡(120∘−θ)tan⁡(120∘+θ)=13\quad \tan \theta \cdot \tan \left(120^{\circ}-\theta\right) \tan \left(120^{\circ}+\theta\right)=\frac{1}{\sqrt{3}}, then θ\theta is equal to
∑k=16[sin⁡2kπ7−icos⁡2kπ7]\displaystyle \sum_{k=1}^{6}\left[\sin \frac{2 k \pi}{7}-i \cos \frac{2 k \pi}{7}\right] is equal to