Question

Evaluate:
Q. Evaluate:
8$\sqrt{3}\cos e{c}^{2}30°\sin 60°\cos 60°{\cos }^{2}45°$

Answer 1

Dear Student,


$$\begin{gathered} 8\sqrt{3}{\mathrm{cosec}}^{2}30°\sin 60°{\cos }^{2}45° \\ =8\sqrt{3}\times {\left(2\right)}^2\times \left(\frac{\sqrt{3}}{2}\right)\times {\left(\frac{1}{\sqrt{2}}\right)}^2 \\ =8\sqrt{3}\times 4\times \frac{\sqrt{3}}{2}\times \frac{1}{2} \\ =8\sqrt{3}\times \sqrt{3} \\ =24\mathrm{ANS}... \end{gathered}$$

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