The value of (tan10 tan20 ……………. tan88
……………. tan880 tan890) is ___________.
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Answer:
tan89
0
=tan(90
0
−1
0
)=cot1
0
tan88
0
=tan(90
0
−2
0
)=cot2
0
Now
tan1
0
tan2
0
tan3
0
.....tan44
0
tan45
0
tan46
0
...
........tan87
0
tan88
0
tan89
0
=tan1
0
tan2
0
tan3
0
.....tan44
0
×1×cot44
0
....
...cot3
0
cot2
0
×cot1
0
=1×1×1.....×1=1
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