Question

The value of $\frac{\sin {30}^{\circ }-\cos {60}^{\circ }+\tan {45}^{\circ }}{\cos {90}^{\circ }-\tan {45}^{\circ }+\sin {90}^{\circ }}$ is

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

Answer 1

The correct option is D $\infty$

Given:

$\Rightarrow \frac{\sin {30}^{\circ }-\cos {60}^{\circ }+\tan {45}^{\circ }}{\cos {90}^{\circ }-\tan {45}^{\circ }+\sin {90}^{\circ }}$

$=\frac{\frac{1}{2}-\frac{1}{2}+1}{0-1+1}=\frac{1}{0}=\infty .$