Find the value of sin225° + sin265° + coses257° - tan233° = ?

Answer: Option B

$${\sin }^{2}25^{\circ }+{\sin }^{2}65^{\circ }+\text{cose}{\text{c}}^{2}57^{\circ }-\text{ta}{\text{n}}^{2}33^{\circ }$$
$$\Rightarrow \left({\sin }^2{25}^{\circ }+{\cos }^2{25}^{\circ }\right)+$$     $$\left(\text{se}{\text{c}}^2{33}^{\circ }-\text{ta}{\text{n}}^2{33}^{\circ }\right)$$
$$\begin{array}{rl}& \Rightarrow 1+1\\ & \Rightarrow 2\\ & \mathbf{Note}:\\ & {\sin }^{2}65^{\circ }={\sin }^2\left({90}^{\circ }-{25}^{\circ }\right)\\ & =\text{co}{\text{s}}^{2}25^{\circ }\\ & \text{cose}{\text{c}}^{2}57^{\circ }={\mathrm{cosec}}^2\left({90}^{\circ }-{33}^{\circ }\right)\\ & =\text{se}{\text{c}}^{2}33^{\circ }\end{array}$$