Question

$sin{60}^{\circ }cos{45}^{\circ }tan{45}^{\circ }cot{60}^{\circ }sec{30}^{\circ }cosec{90}^{\circ }$

• A. $\frac{1}{\sqrt{6}}$
• B. $\frac{\sqrt{3}}{\sqrt{2}}$
• C. $\frac{\sqrt{2}}{\sqrt{3}}$
• D. $\sqrt{6}$

Answer 1

The correct option is A

$\frac{1}{\sqrt{6}}$

$sin{60}^{\circ }cos{45}^{\circ }tan{45}^{\circ }cot{60}^{\circ }sec{30}^{\circ }cosec{90}^{\circ }$

$=\left(\frac{\sqrt{3}}{2}\right)\times \left(\frac{1}{\sqrt{2}}\right)\times 1\times \left(\frac{1}{\sqrt{3}}\right)\times \left(\frac{2}{\sqrt{3}}\right)\times 1$

$=\frac{1}{\sqrt{6}}$