Question

sin² 33 + Sin² 57 + 2 tan 18 tan 72​

Answer 1

Answer:

sin² 33 + Sin² 57 + 2 tan 18 * tan 72 = 3

Step-by-step explanation:

sin A = cos (90 - A)

sin 33° = cos 57°

tan A = cot (90 - A)

tan 18° = cot 72°

cos² 57° + sin² 57° + 2 (cot 72° * tan 72°)

1 + 2(1) = 3

[sin²A + cos²A = 1] [cotA * tanA = 1]