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The value of tan 20^(@) tan 40^(@) tan 8...

The value of `tan 20^(@) tan 40^(@) tan 80^(@)` is equal to

A

`tan 60^(@)`

B

`cot 60^(@)`

C

`tan 45^(@)`

D

`tan 80^(@)`

Text Solution

Verified by Experts

The correct Answer is:
A
`tan 20^(@) tan 40^(@) tan 80^(@)`
`=tan 20^(@)tan (60^(@)-20^(@))tan (60^(@)+20^(@))`
`=tan (3xx20^(@))=tan60^(@)`
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