Answer:
√(3)/3
Step-by-step explanation:
cos(A) = adj./hyp.
adj. = √(3) or √(3)/2
hyp. = 2 or 1
use unit circle:
hyp. = 1
adj. = √(3)/2
use pythagorean theorem c² - b² = a²
1² - (√(3)/2)² = 1 - 0.75 = 0.25
a² = 0.25
a = √(0.25)
a = 0.5
tan(A) = opp./adj.
tan(A) = 0.5/(√(3)/2)
tan(A) = 1/√(3)
rationalize
tan(A) = √(3)/3
