If sin α = $\dfrac{1}{2}$ and cos β = $\dfrac{1}{2}$, then the value of (α + β) is

1. 0°

2. 30°

3. 60°

4. 90°

If △ABC is right angled at C, then the value of cos (A + B) is

1. 0

2. 1

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

4. $\dfrac{\sqrt{3}}{2}$

In the adjoining figure, PQR is a right triangle right angled at Q. If PQ = 4 cm and PR = 8 cm then ∠P is equal to

1. 60°

2. 45°

3. 30°

4. 15°

Consider the following two statements.

Statement 1: sin 18° - cos 72° = 0.

Statement 2: sin θ = cos (90° - θ).

Which of the following is valid?

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.