Find the value of the following trigonometry term tan1.tan2.tan3.tan4............tan89 (Use 1,2,

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21 Jun 2013 Trigonometry

Find the value of the following trigonometry term
tan1.tan2.tan3.tan4............tan89 (Use 1,2,3,4..89 in degree term)

OPtion

1) Infinite
2) 1/sqrt3
3) 1/sqrt2
4) 1
5) 0
6) 1+sqrt2
7) 1+sqrt3
8) sqrt2+sqrt3
9) sqrt3
10) None of these

Solution

tan1.tan2.tan3.......tan89
(tan1.tan(90-1)).(tan2.tan(90-2))...............(tan44.tan(90-44).tan45
(tan1.cot1).(tan2.cot2).............(tan44.cot44).tan45
solve
1.1.1..........tan45
1
option 4

Correct Option: 4 Best Solution (0)