The value of (1 + tan²θ)(1 − sin θ)(1 + sin θ) is:

1. 0

2. 1

3. sec²θ sin²θ

4. cot²θ

Given that sin θ = $\Big(\dfrac{a}{b}\Big)$, then cos θ is equal to:

1. $\Big(\dfrac{b}{a}\Big)$

2. $\Big(\dfrac{a}{\sqrt{b^2 - a^2}}\Big)$

3. $\Big(\dfrac{b}{\sqrt{b^2 - a^2}}\Big)$

4. $\Big(\dfrac{\sqrt{b^2 - a^2}}{b}\Big)$

If tan A = $\Big(\dfrac{5}{12}\Big)$, then the value of (sin A + cos A) sec A is:

1. $\Big(\dfrac{5}{12}\Big)$

2. $\Big(\dfrac{7}{12}\Big)$

3. $\Big(\dfrac{17}{12}\Big)$

4. $\Big(\dfrac{5}{13}\Big)$

If 3 cos θ = 1, then the value of cosec θ is:

1. $2\sqrt{2}$

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

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

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