Trig Ratios

The value of (sec θ + tan θ - 1)(sec θ - tan θ + 1) is:

If sin θ = 1/3, find the value of (2 cot²θ + 2).

If cos θ = 2/3, evaluate 9 tan²θ - 1.

Simplify the expression: (1/cos²θ) - (1/cot²θ)

Find the value of (1-sin²θ)(1+tan²θ).