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

If cosec θ − cot θ = $\dfrac{1}{3}$, then the value of cosec θ + cot θ is :

1. 1

2. 2

3. 3

4. 4

If sin θ − cos θ = 0, then the value of sin θ + cos θ is :

1. $\dfrac{1}{\sqrt{2}}$

2. $\sqrt{2}$

3. $\dfrac{1}{4}$

4. $\dfrac{3}{4}$