Question

The value of $\frac{1}{sin{10}^0}-\frac{\sqrt{3}}{cos{10}^0}$, is

• A. $0$
• B. $1$
• C. $2$
• D. $4$

Answer 1

The correct option is D $4$

$\frac{cos{10}^{\circ }-\sqrt{3}sin{10}^{\circ }}{2sin{10}^{\circ }cos{10}^{\circ }}\times 2$

$=\frac{4(sin{30}^{\circ }cos10-cos30sin{10}^{\circ })}{sin{20}^{\circ }}$

$=\frac{4sin{20}^{\circ }}{sin28}=4$