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Question
The value of tan 1° tan 2° tan 3°…. tan 89° is
Options
0
1
2
`sqrt(3)/2`
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Solution
1
Explanation;
Hint:
tan 1°. tan 2°. tan 3° …….. tan 89°
= tan (90° – 89°). tan (90° – 88°) .tan (90° – 87°) …….. tan 45°. tan (89°)
= cot 89°. cot 88°. cot 87°. ……. tan 45° …….. tan 87°. tan 88°. tan 89°
= 1
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