Assertion (A): 1 + sec² θ = tan² θ is a trigonometric identity.

Reason (R): An equation involving trigonometric ratio of an angle is called trigonometric identity if it is true for all values of the angles involved.

1. Assertion (A) is true, Reason (R) is false.

2. Assertion (A) is false, Reason (R) is true.

3. Both Assertion (A) and Reason (R) are correct, and Reason (R) is the correct reason for Assertion (A).

4. Both Assertion (A) and Reason (R) are correct, and Reason (R) is incorrect reason for Assertion (A).

If θ is an acute angle and cosec θ = $\sqrt{5}$ find the value of cot θ - cos θ.

Evaluate the following :

$2 \times \Big(\dfrac{\text{cos}^2 20° + \text{cos}^2 70°}{\text{sin}^2 25° + \text{sin}^2 65°}\Big)$ - tan 45° + tan 13° tan 23° tan 30° tan 67° tan 77°

Evaluate the following :

$\dfrac{\text{sin}^2 22° + \text{sin}^2 68°}{\text{cos}^2 22° + \text{cos}^2 68°}$ + sin² 63° + cos 63° sin 27°