Swetha and her friends went on vacation. They are staying in a cottage. The roof of the cottage was triangular in shape. Swetha and her friends are taking pictures in front of the cottage.
 
A_2.png
 
Based on the above information, solve the following questions
 
1. If \(D\) is the mid-point of \(AC\), then find \(BD\). 
 
2. Find \(\angle A\). 
 
3. Find the value of \(1 - \cos^2 A\).
 
4. \(1 + tan^2 A = \)