For any angle θ, state the value of :

sin² θ + cos² θ.

State for any acute angle θ whether :

sin θ increases or decreases as θ increases.

State for any acute angle θ whether :

tan θ increases or decreases as θ decreases.

If A = 30°, then $\dfrac{\text{sin 2 A}}{\text{1 - cos 2 A}}$ is equal to :

1. cot A

2. tan A

3. sec A

4. cosec A