The value of cot1 7^ ( 73^ \, ^222^ \, + 1 17^ sec^268^ ) is?

Answer: Option B

$$\Rightarrow \text{cot1}{\text{7}}^{\circ }\left(\cot {73}^{\circ }{\cos }^2{22}^{\circ }+\frac{1}{\cot {17}^{\circ }se{c}^2{68}^{\circ }}\right)$$
$$\Rightarrow \text{cot1}{\text{7}}^{\circ }\left[\cot \left({90}^{\circ }-{17}^{\circ }\right){\cos }^2\left({90}^{\circ }-{68}^{\circ }\right)+\tan {17}^{\circ }\text{co}{\text{s}}^2{68}^{\circ }\right]$$
$$\begin{array}{rl}& \Rightarrow \text{cot1}{\text{7}}^{\circ }\left(tan{17}^{\circ }si{n}^2{68}^{\circ }+\tan {17}^{\circ }\text{co}{\text{s}}^2{68}^{\circ }\right)\\ & \Rightarrow \text{cot1}{\text{7}}^{\circ }\tan 17^{\circ }\left(si{n}^2{68}^{\circ }+\text{co}{\text{s}}^2{68}^{\circ }\right)\\ & \Rightarrow 1\left(1\right)\\ & \Rightarrow 1\end{array}$$