Statement 1: If 3 cos A = 4, sec A = $\dfrac{3}{4}$.

Statement 2: 3 cos A = 4 ⇒ cos A = $\dfrac{4}{3}$ and sec A = $\dfrac{1}{\text{cos A}} = \dfrac{3}{4}$.

1. Both the statements are true.

2. Both the statements are false.

3. Statement 1 is true, and statement 2 is false.

4. Statement 1 is false, and statement 2 is true.

Assertion (A): The value of sin² 30° - 2 cos³ 60° + 2 tan⁴ 45° is 2.

Reason (R): sin 30° = $\dfrac{1}{2}$, cos 60° = $\dfrac{1}{2}$, and tan 45° = 1

1. A is true, but R is false.

2. A is false, but R is true.

3. Both A and R are true, and R is the correct reason for A.

4. Both A and R are true, and R is the incorrect reason for A.

If $\text{cosec θ} = {\sqrt5}$ find the value of :

(i) 2 - sin² θ - cos² θ

(ii) $2 + \dfrac{1}{\text{sin}^2 \text{ θ}} - \dfrac{\text{cos}^2 \text{ θ}}{\text{sin}^2 \text{ θ}}$

In the given figure; ∠C = 90° and D is mid-point of AC. Find :

(i) $\dfrac{\text{tan ∠CAB}}{\text{tan ∠CDB}}$

(ii) $\dfrac{\text {tan ∠ABC}}{\text {tan ∠DBC}}$