Question

evaluate without using trigonometric tables
tan 12° tan38° tan 52° tan 60° tan 78°

Answer 1

Answer:

√3 is the answer

Step-by-step explanation:

tan 12 = 1/cot12 = 1/tan(90-12) = 1/tan78

tan 12 = 1/tan78

Therefore tan78 × 1/tan78 = 1

Similarly tan38 = 1/tan52

tan52 × 1/tan52 = 1

1 × 1 × tan60 = 1 × 1 × √3 = √3