Consider the following statements :

1.If 45° < θ < 60°, then sec²θ + cosec²θ = α² for some real number α > 1.

2. If 0° < θ < 45°, then (1 + cosθ)/(1 – cosθ) = x² for some real number x > 2.

3. If 0° < θ < 45°, then cosθ/(1 – tanθ) = sinθ/(1 – cotθ) ≥ 2.

What is the number of true statements?

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