jcarangui1 one year ago Can someone help to find the value of tan (4pi/3) without using a calculator ?

1. geerky42

Unit Circle Chart is your friend.

2. geerky42

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3. anonymous

$\tan \frac{ 4 \pi }{ 3 }=\tan \left( \pi+\frac{ \pi }{ 3 } \right)=\tan \frac{ \pi }{ 3 }=\frac{ \sin \frac{ \pi }{ 3 } }{ \cos \frac{ \pi }{ 3 } }$ $=\frac{ \frac{ \sqrt{3} }{ 2 } }{ \frac{ 1 }{ 2 } }=\sqrt{3}$

4. anonymous