Find the value of $\frac{3}{4} \cot ^2 30^{\circ}+\cos ^2 30^{\circ}-3 cosec^2 60^{\circ}+\tan ^2 60^{\circ}$. |
-4 10 $\frac{\sqrt{3}}{4}$ 2 |
2 |
\(\frac{3}{4}\). cot²30º + cos²30º - 3 cosec²60º + tan²60º = \(\frac{3}{4}\) × 3 + \(\frac{3}{4}\) - 3 × \(\frac{4}{3}\) + 3 = \(\frac{9}{4}\) + \(\frac{3}{4}\) - 4 + 3 = \(\frac{12}{4}\) - 4 + 3 = 3 - 4 + 3 = 2 |