Respuesta :

lucic

Answer:

D

Step-by-step explanation:

tanФ=opposite/adjacent

tan 60°=√3/1

=√3

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.