Answer:
[tex]\boxed{2\cos^2\theta}[/tex]
Step-by-step explanation:
[tex]\cot^2\theta \sin^2\theta+\cos^2\theta[/tex]
[tex]\dfrac{1}{\tan^2 \theta} \sin^2\theta+\cos^2\theta[/tex]
[tex]\dfrac{1}{\dfrac{\sin^2\theta}{\cos^2\theta} } \sin^2\theta+\cos^2\theta[/tex]
[tex]\dfrac{\cos^2\theta}{\sin^2\theta } \sin^2\theta+\cos^2\theta[/tex]
[tex]\cos^2\theta+\cos^2\theta[/tex]
[tex]2\cos^2\theta[/tex]
