If tan θ = $\Big(\dfrac{1}{\sqrt{7}}\Big)$, then the value of $\Big(\dfrac{\cosec^2\theta + \sec^2\theta}{\cosec^2\theta - \sec^2\theta}\Big)$ is:

1. $\Big(\dfrac{3}{4}\Big)$

2. $\Big(\dfrac{4}{3}\Big)$

3. $\Big(\dfrac{3}{7}\Big)$

4. $\Big(\dfrac{4}{7}\Big)$

(1 + sin A)(1 − sin A) is equal to:

1. cosec²A

2. sin²A

3. sec²A

4. cos²A

If sec θ = 2x and y tan θ = 2, then the value of $2\Big(x^2 - \dfrac{1}{y^2}\Big)$ is:

1. $\Big(\dfrac{1}{2}\Big)$

2. $\Big(\dfrac{1}{3}\Big)$

3. $\Big(\dfrac{1}{4}\Big)$

4. 1

(cos⁴ θ − sin⁴ θ) is equal to :

1. 2 cos² θ + 1

2. 2 cos² θ − 1

3. 2 sin² θ + 1

4. 2 sin² θ − 1