If `tanA=1` and ` tanB=sqrt(3),e v a l u a t ecosAcosB-sinAsinBdot`

Explanation

To solve the problem, we need to evaluate the expression \( \cos A \cos B - \sin A \sin B \) given that \( \tan A = 1 \) and \( \tan B = \sqrt{3} \).

### Step-by-Step Solution:

1. **Identify the angles A and B:**
- We know that \( \tan A = 1 \). The angle whose tangent is 1 is \( 45^\circ \). Therefore, \( A = 45^\circ \).
- We also know that \( \tan B = \sqrt{3} \). The angle whose tangent is \( \sqrt{3} \) is \( 60^\circ \). Therefore, \( B = 60^\circ \).

...