the value of tan1 tan2 tan3 .........tan89 =?and y?
plz answer...
1 .....
coz .....
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 [as tan and cot r complementary] ....
As, tan A.cot A = 1
= tan1.cot1.tan2.cot2[till tan 44 and cot 44]........ * tan45
= 1 * 1 [as tan 45 = 1]
= 1 ....
Hope this helps !!!