Final answer:
To simplify the expression cos^2x+cos^2x*cot^2x:
1. Replace cot^2x with cos^2x/sin^2x since cot(x)=cos(x)/sin(x).
2. Distribute the cos^2x throughout the expression.
3. Combine like terms.
4. Simplify further, if possible.
Step-by-step explanation:
To simplify the expression cos^2x+cos^2x*cot^2x:
- Replace cot^2x with cos^2x/sin^2x since cot(x)=cos(x)/sin(x).
- Distribute the cos^2x throughout the expression.
- Combine like terms.
- Simplify further, if possible.
By following these steps, the expression can be simplified.