ΔXYZ is right angled at Y. If m∠Z = 45°, then find the value of ( cosecX - 2 3 ) = ?

Answer: Option C

$$\begin{array}{rl}& \text{cosec X}-\frac{2}{\sqrt{3}}\\ & =\frac{\sqrt{2}x}{x}-\frac{2}{\sqrt{3}}\\ & =\sqrt{2}-\frac{2}{\sqrt{3}}\\ & =\frac{\sqrt{6}-2}{\sqrt{3}}\end{array}$$