If the measure of the angle is 2π/3 the correct option will be tan∅=-√3.
What is trigonometry?
The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle are termed trigonometry.
It is given in the question that:-
The measure of the angle is = [tex]\dfrac{2\pi}{3}[/tex]
We can also write the angle as = [tex]\dfrac{2\times 180}{3}=120[/tex]
Now from the options, the only value which satisfies this angle is tan∅=-√3.
[tex]tan\dfrac{2\pi}{3}=tan \dfrac{2\times 180}{3}=tan(120)=-\sqrt{3}[/tex]
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