Question

If 2 sin $x^{\circ }-1=0$ and $x^{\circ }$ is an acute angle;

$tan{x}^{\circ }$ is $\frac{1}{m}$, m is

• A. $\sqrt{3}$
• B. $\sqrt{4}$
• C. $\sqrt{5}$
• D. $\sqrt{7}$

Answer 1

The correct option is A $\sqrt{3}$

$2sin{x}^{\circ }-1=0$
$sin{x}^{\circ }=\frac{1}{2}$
$sin{x}^{\circ }=sin30$
$x={30}^{\circ }$
hence, $cos{x}^{\circ }=cos30=\frac{\sqrt{3}}{2}$
$tan{x}^{\circ }=tan30=\frac{1}{\sqrt{3}}$