Question

If CosA= sqrt 3/2, what is TanA?​

Answer 1

√(3)/3

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