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Evaluate: tan (13pi)/(12)...

Evaluate: `tan (13pi)/(12)`

Text Solution

Verified by Experts

`tan(13pi)/(12)=tan(pi+pi/12)`
`=tanpi/12=tan(pi/3-pi/4)`
`=(tanpi/3-tanpi/4)/(1+tanpi/3tanpi/4)=(sqrt(3)-1)/(1+sqrt(3))` Ans.
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