Question

Use the unit circle to find tan 60°.

Answer 1

d. √3

EXPLANATION

On the unit circle, the terminal side of the 60° angle intersect the circle at

`( (1)/(2), ( √(3) )/(2) )`

This means that,

`\cos(60 \degree) = (1)/(2)`

and

`\sin(60 \degree) = ( √(3) )/(2)`

We use these two ratios to determine the tangent ratio,

`\tan(60 \degree) = ( ( √(3) )/(2) )/( (1)/(2) )`

Simplify:

`\tan(60 \degree) = √(3)`

The correct choice is D.

Answer 2

D

Explanation:

tanФ=opposite/adjacent

tan 60°=√3/1

=√3