CBSE Class 10 Answered
Tan1.Tan2............Tan89=
Asked by vishal | 15 Sep, 2013, 08:43: AM
Expert Answer
tan 1.tan 2.tan 3 ........... tan 87.tan 88.tan 89
= tan 1.tan 2.tan 3 ....... tan(90-3).tan(90-2).tan(90-1)
= tan1.tan2.tan3 ...... cot1.cot2.cot3
= tan1.cot1.tan2.cot2[till tan 44 and cot 44]........ * tan45
= 1 * 1 [as tan 45o = 1 and tanA.cotA=1]
= 1
Answered by | 15 Sep, 2013, 12:27: PM
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