Kaviya decides to make a bird house which is triangular in shape. She uses cardboard to make the bird house as shown in the figure. Considering the front side of the bird house as a right-angled triangle \(PQR\), right-angled at \(R\), answer the following questions.
Based on the above information, answer the following questions.
1. If \(\angle PQR = \theta\), then \(\cos \theta =\)
2. The value of \(\sec \theta = \)
3. The value of \(\frac{\tan \theta}{1 + \tan^2 \theta} = \)
4. The value of \(\cot^2 \theta - cosec^2 \theta =\)
5. The value of \(\sin^2 \theta + \cos^2 \theta = \)