The value of (1 + tan θ + sec θ)(1 + cot θ − cosec θ) is:

1. −4

2. −1

3. 1

4. 2

If tan θ + cot θ = 2, then tan²θ + cot²θ is equal to:

1. 1

2. 2

3. 4

4. 8