The expression 57^ + 37^ 33^ + 53^ is equal to?

Answer: Option B

$$\begin{array}{rl}& \frac{\tan {57}^{\circ }+\cot {37}^{\circ }}{\tan {33}^{\circ }+\cot {53}^{\circ }}\\ & =\frac{cot{33}^{\circ }+\tan {53}^{\circ }}{\tan {33}^{\circ }+\cot {53}^{\circ }}\\ & =\frac{\frac{1}{\tan {33}^{\circ }}+\tan {53}^{\circ }}{\tan {33}^{\circ }+\frac{1}{\tan {53}^{\circ }}}\\ & =\frac{1+\tan {53}^{\circ }.\tan {33}^{\circ }}{\tan {33}^{\circ }.\tan {53}^{\circ }+1}\times \frac{\tan {53}^{\circ }}{\tan {33}^{\circ }}\\ & =\tan 53^{\circ }.cot33^{\circ }\\ & =\cot 37^{\circ }.\tan 57^{\circ }\end{array}$$