The value of cos 60° - sin 90° + 2 cos 0° is :

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

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

3. $-1\dfrac{1}{2}$

4. $1\dfrac{1}{2}$

The value of sin 23° - cos 67° is :

1. 1

2. 0

3. cos 44°

4. -cos 44°

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.