1. ## Precalc question

1+cot^2x-cos^2x-cos^2xcot^2x Can Anyone simplify this problem step by step?

2. Thanks. My precalc book says the answer is 1, but that didnt make sense to me.

3. Does this make sense that the answer is 1?

4. Does anyone know what the right answer is? Is it 1 or above?
Can you explain

-- Thanks

5. Originally Posted by mat1
1+cot^2x-cos^2x-cos^2xcot^2x Can Anyone simplify this problem step by step?
$1 + \cot^2{x} - \cos^2{x} - \cos^2{x} \cdot \cot^2{x} =$
$1 + \cot^2{x} - \cos^2{x} - \cos^2{x}(\csc^2{x} - 1) =$
$1 + \cot^2{x} - \cos^2{x} - \cot^2{x} + \cos^2{x} =$
$1$