Statement 1: The angle C of a right angled triangle is 90°, then tan A = cot B.

Statement 2: Since, angle C of triangle ABC = 90°.

∴ ∠A + ∠B = 90° ⇒ ∠A = 90° - ∠B

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.

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): If A = 30°, the value of 4 sin A sin (60° - A) sin (60° + A) = 1.

Reason (R): 60° - A = 30° and 60° + A = 90°.

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