Use the unit circle to find tan 60°.
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ANSWER
d. √3
EXPLANATION
On the unit circle, the terminal side of the 60° angle intersect the circle at
[tex]( \frac{1}{2}, \frac{ \sqrt{3} }{2} )[/tex]
This means that,
[tex] \cos(60 \degree) = \frac{1}{2} [/tex]
and
[tex] \sin(60 \degree) = \frac{ \sqrt{3} }{2} [/tex]
We use these two ratios to determine the tangent ratio,
[tex] \tan(60 \degree) = \frac{ \frac{ \sqrt{3} }{2} }{ \frac{1}{2} } [/tex]
Simplify:
[tex] \tan(60 \degree) = \sqrt{3} [/tex]
The correct choice is D.