$\sqrt{\Big(\dfrac{1 − \sin A}{1 + \sin A}\Big)}$ = ?

1. sec A + tan A

2. sec A − tan A

3. sec A tan A

4. none of these

Assertion (A): $\Big(\dfrac{1 + \tan \theta}{1 + \cot \theta} \Big)^2 = \tan^2 \theta$

Reason (R): tan² θ + sec² θ = 1

1. A is true, R is false

2. A is false, R is true

3. Both A and R are true

4. Both A and R are false

Assertion (A): (1 − cosec² θ)(1 − sec² θ) = 1

Reason (R): 1 + tan² θ = sec² θ and 1 + cot² θ = cosec² θ

1. A is true, R is false

2. A is false, R is true

3. Both A and R are true

4. Both A and R are false

Assertion (A): For an acute angle θ, if sin θ = cos θ, then 2 sin² θ + tan² θ = 1

Reason (R): For any acute angle θ, sin (90° − θ) = cos (45° + θ)

1. A is true, R is false

2. A is false, R is true

3. Both A and R are true

4. Both A and R are false