Assertion (A): If ΔABC is equilateral, then cos A + cos B + cos C = sin A + sin B + sin C.

Reason (R): In isosceles right angled triangle ABC, cos A + cos C = sin A + sin C.

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 true, and Reason (R) is the correct reason for Assertion (A).

4. Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct reason (or explanation) for Assertion (A).

Find the values of :

sin² 60° - cos² 45° + 3 tan² 30°

Find the values of :

sec 30° tan 60° + sin 45° cosec 45° + cos 30° cot 60°

Taking A = 30°, verify that

(i) cos⁴ A - sin⁴ A = cos 2A

(ii) 4 cos A cos (60° - A) cos (60° + A) = cos 3A.