Question

What is the value of tanΘ in the unit circle below?

Answer 1

B) sqrt 3/3 (I don't know how to add the square root or fraction symbols)

Explanation:

Did the quiz

Answer 2

from the picture, we can see the pair, bear in mind that terminal point pair is really the (x,y) pair or namely the (cosine, sine) pair, so we know what the cosine and sine are.


`\bf tan(\theta )=\cfrac{\stackrel{sine}{\quad (1)/(2)\quad }}{\stackrel{cosine}{(√(3))/(2)}}\implies \cfrac{1}{2}\cdot \cfrac{2}{√(3)}\implies \cfrac{1}{√(3)}\implies \stackrel{\textit{rationalizing the denominator}}{\cfrac{1}{√(3)}\cdot \cfrac{√(3)}{√(3)}\implies \cfrac{√(3)}{3}}`