If 4 tan θ = 3, then $\Big(\dfrac{4\sin\theta - 3\cos\theta}{4\sin\theta + 3\cos\theta}\Big)$ = ?

1. 0

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

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

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

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

sin A expressed in terms of cot A is:

1. $\Big(\dfrac{1}{\sqrt{1 + \cot^2 A}}\Big)$

2. $\Big(\dfrac{\sqrt{1 + \cot^2 A}}{\cot A}\Big)$

3. $\Big(\dfrac{\sqrt{1 + \cot^2 A}}{1}\Big)$

4. $\Big(\dfrac{\sqrt{1 - \cot^2 A}}{\cot A}\Big)$

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