Question

The value of expression $\frac{\sin {30}^{\circ }+\tan {45}^{\circ }-\sec {60}^{\circ }}{\text{cosec}{30}^{\circ }-\cot {45}^{\circ }-\cos {60}^{\circ }}$ =

• A. $0$
• B. $1$
• C. $-1$
• D. $2+\sqrt{3}$

Answer 1

The correct option is C $-1$

$\frac{\sin {30}^{\circ }+\tan {45}^{\circ }-\sec {60}^{\circ }}{\text{cosec}{30}^{\circ }-\cot {45}^{\circ }-\cos {60}^{\circ }}$

= $\frac{\frac{1}{2}+1-2}{2-1-\frac{1}{2}}$

= $\frac{1+2-4}{4-2-1}$

= $\frac{-1}{1}$

= $-1$