Question

The value of (tan1tan2tan3.........tan89) is

Answer 1

Answer:

Step-by-step explanation:

First convert all expressions after tan45 into cot(90-A i.e 44,43 etc.)

then these values will get cancelled,leaving you with your answer as '1'.

solving:

(tan1tan2tan3......tan89)

⇒(tan1tan2tan3........tan45.......cot(90-87)cot(90-88)cot(90-89)

⇒(tan1tan2tan3........tan45.......cot3cot2cot1)

⇒1                         (∵all values except tan45 get cancelled and tan45=1)