Question

The value of $\frac{\tan {53}^{\circ }}{\cot {37}^{\circ }}-\frac{\cot {40}^{\circ }}{\tan {50}^{\circ }}+2$ is

• A. $0$
• B. $2$
• C. $1$
• D. $-2$

Answer 1

The correct option is B $2$

$\frac{\tan {53}^{\circ }}{\cot {37}^{\circ }}-\frac{\cot {40}^{\circ }}{\tan {50}^{\circ }}+2$
$=\frac{\tan {53}^{\circ }}{\cot (90-53{)}^{\circ }}-\frac{\cot (90-50{)}^{\circ }}{\tan {50}^{\circ }}+2$
$=\frac{\tan {53}^{\circ }}{\tan {53}^{\circ }}-\frac{\tan {50}^{\circ }}{\tan {50}^{\circ }}+2$
$=1-1+2=2$