Question

The value of $\sin 0^{\circ }+\cos {30}^{\circ }-\tan {45}^{\circ }+$ $cosec{60}^{\circ }+\cot {90}^{\circ }$ is equal to

• A. $\frac{5\sqrt{3}-6}{6}$
• B. $\frac{-6+7\sqrt{3}}{6}$
• C. $0$
• D. $2$

Answer 1

Answer: (B)

$\frac{-6+7\sqrt{3}}{6}$

Given exp $=0+\frac{\sqrt{3}}{2}-1+\frac{2}{\sqrt{3}}+0$

$\Rightarrow \frac{\sqrt{3}}{2}-1+\frac{2}{\sqrt{3}}$

$\Rightarrow \frac{3-2\sqrt{3}+4}{2\sqrt{3}}$

$\Rightarrow \frac{7-2\sqrt{3}}{2\sqrt{3}}\times \frac{\sqrt{3}}{\sqrt{3}}=\frac{7\sqrt{3}-6}{6}$