Find the value of tan⁡(π3)

interdicoxd

interdicoxd

Answered

2021-12-31

Find the value of tan(π3)

Answer & Explanation

Neil Dismukes

Neil Dismukes

Expert

2022-01-01Added 37 answers

Well, tan(π3)=sin(π3)cos(π3)=3212=32(21)=3
However, you can find it in another way:
Just think of it as a tan60° and then draw a 30°60°90° tringle
And tan60° will be equal to oppositeadjacent in reference to 60° angle. Thus, opposite=3 and adjacent=1. Hence,
tan60°=oppositeadjacent=31=3
twineg4

twineg4

Expert

2022-01-02Added 33 answers

Use the Unit Circle and examine it at π3
And determine the tangent, if we know the point ({32;{12), thinking of it as a slope of the line in the unit circle.
tanπ3=320120=3
nick1337

nick1337

Expert

2022-01-08Added 573 answers

tan(π3)=3

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