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```				   TAN1.TAN2.TAN3.......................TAN89
```

6 years ago

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```										Dear Raj,
tan1.tan2.........tan89 but tan 89 can be written as cot 1[tan(90-1)=cot 1] by tan(90-theta)=cot(theta) likewise......, tan 88 =cot 2 tan 87= cot 3 ................up to tan 46=cot 44 then middle one is tan 45 =1 so it is  tan1.tan2...........tan44.tan 45.cot44..............cot1 tan and cot cancel out by[tan (theta)*cot(theta)=1 so ....remaining is 1 answer =1

We are all  IITians and here to help you in your IIT  JEE preparation.  All the best.
Sagar Singh
B.Tech IIT Delhi

```
6 years ago

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