Express csc^2 (x) + cot^2 (x) in terms of sin (x).

csc^{2}(x)+cot^{2}(x)

Use your identities. csc(x)=\frac{1}{sin(x)}, \;\ cot(x)=\frac{cos(x)}{sin(x)}, \;\ cos^{2}(x)=1-sin^{2}(x)

Now, put it all together and simplify as needed.