If 24 cot θ = 7, then sin θ is equal to:

1. $\Big(\dfrac{24}{7}\Big)$

2. $\Big(\dfrac{24}{25}\Big)$

3. $\Big(\dfrac{7}{25}\Big)$

4. $\Big(\dfrac{25}{24}\Big)$

If tan θ + cot θ = 2, then tan²θ + cot²θ is equal to:

1. 1

2. 2

3. 4

4. 8

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