Answer:
[tex] \cos^2 x [/tex]
Step-by-step explanation:
[tex] \dfrac{\cos^2 x \sin^2 x}{\tan^2 x(1 - \sin^2 x)} = [/tex]
[tex] = \dfrac{\cancel{\cos^2 x} \sin^2 x}{\tan^2 x\cancel{\cos^2 x}} [/tex]
[tex] = \dfrac{\sin^2 x}{\tan^2 x} [/tex]
[tex] = \dfrac{\sin^2 x}{\dfrac{\sin^2 x}{\cos^2 x}} [/tex]
[tex] = \sin^2 x \times \dfrac{\cos^2 x}{\sin^2 x} [/tex]
