Question

The value of tan 1° tan2° tan3°...... tan89° is

Answer 1

Answer:

answer is 1

Step-by-step explanation:

first know this, tanx*cotx = 1

now

tan1 tan2 .... upto tan 45

from tan 46 onwards convert tan into cot

now the coming terms will become

cot 44 cot 43 upto cot 1

now the complete expression becomes

tan 1 tan2 tan3....... tan45 cot 44 cot43.......cot1

now arrange this as

tan1cot1 tan2cot2.........tan44cot44 tan45

= 1