A sailing boat with triangular masts is as shown below. Two right triangles can be observed Triangles \(PQR\) and \(PQS\), both right-angled at \(Q\). The distance \(QR = 2 \ m\) and \(QS = 3 \ m\) and height \(PQ = 5 \ m\). 
 
A_77.png
 
A_78.png
 
Based on the above information, solve the following questions
 
1. The value of \(\sec S\) is : 
 
2. The value of \(\text{cosec} \ R\) is: 
 
 
3. The value of \(\tan S + \cot R\) is: 
 
4. The value of \(\sin^2 R - \cos^2 S\) is: